Counting (1) (Protected View) - WordXSign inTell me what you want to doMailings8ShareFileHomeInsertDesignReferencesReviewLayoutViewEnable EditingPROTECTED VIEWBe careful-files from the Internet can contain viruses. Unless you need to edit, it's safer to stay in Protected View.(b) How many of the arrangements in (a) willhave the letters 'O'together?4 trombones and 1 drum. He has to choosethe musicians from a group of 25 people,Each person in the group can play any ofthe instruments mentioned. The director isonly concerned with the arrangement of theinstruments, that is, he views all the players asidentical.(a) How many arrangements are possible?(b) How many arrangements are possible ifthe director decides to put the drum inthe centre, the trumpets and tromboneson the left and the clarinets and flutes on theright?5. A box contains 20 coloured balls. There are5 balls each with the following colours: blue, red,yellow and green. The 5 balls of each colour arenumbered from one to five. 4 balls are randomlyselected at once.(a) How many ways can 4 ballls of the samecolour be selected?(b) How many ways can exactly 2 of the 4 ballsselected have the same colour?(c) How many ways can the 4 balls selectedconsist of 2 balls each of two differentnumbers?Abox contains nine white marbles and three blackmarbles. Four marbles are randomly selected atonce from the box.11.6. (a) How many ways can a teacher form acommittee of 3 members from a class of4 boys and 3 girls?(b) How many committees in (a) has exactlyone girl?(c) How many committees in (a) has at leastone girl?(a) How many ways can you select exactly oneblack marble?(b) How many ways can you select at least oneblack marble?12. A newly married couple wants to put up a stringof coloured lights for a party in their house.They have an clectrical cord which can hold25 light bulbs in a line. The couple has 8 redbulbs, 5 blue bulbs, 9 green bulbs and one cachof yellow, white and orange.(a) How many ways can they arrange thesecoloured bulbs along their electrical cord?(b) How many of these arrangements will havethe 5 blue bulbs together?7. A school Debate Club has 15 members of which7 are boys and 8 are girls.(a) How many ways can a teacher choose 3members of the club to represent the school?(b) How many ways can 3 debaters be chosen ifthe teacher avoids choosing all boys and allgirls?8. A box contains 9 white balls and 3 black balls. If3 wordsPage 3 of 4100%

Question
Asked Oct 13, 2019

how to do question  5 ?

 

 

Counting (1) (Protected View) - Word
X
Sign in
Tell me what you want to do
Mailings
8Share
File
Home
Insert
Design
References
Review
Layout
View
Enable Editing
PROTECTED VIEW
Be careful-files from the Internet can contain viruses. Unless you need to edit, it's safer to stay in Protected View.
(b) How many of the arrangements in (a) will
have the letters 'O'together?
4 trombones and 1 drum. He has to choose
the musicians from a group of 25 people,
Each person in the group can play any of
the instruments mentioned. The director is
only concerned with the arrangement of the
instruments, that is, he views all the players as
identical.
(a) How many arrangements are possible?
(b) How many arrangements are possible if
the director decides to put the drum in
the centre, the trumpets and trombones
on the left and the clarinets and flutes on the
right?
5. A box contains 20 coloured balls. There are
5 balls each with the following colours: blue, red,
yellow and green. The 5 balls of each colour are
numbered from one to five. 4 balls are randomly
selected at once.
(a) How many ways can 4 ballls of the same
colour be selected?
(b) How many ways can exactly 2 of the 4 balls
selected have the same colour?
(c) How many ways can the 4 balls selected
consist of 2 balls each of two different
numbers?
Abox contains nine white marbles and three black
marbles. Four marbles are randomly selected at
once from the box.
11.
6. (a) How many ways can a teacher form a
committee of 3 members from a class of
4 boys and 3 girls?
(b) How many committees in (a) has exactly
one girl?
(c) How many committees in (a) has at least
one girl?
(a) How many ways can you select exactly one
black marble?
(b) How many ways can you select at least one
black marble?
12. A newly married couple wants to put up a string
of coloured lights for a party in their house.
They have an clectrical cord which can hold
25 light bulbs in a line. The couple has 8 red
bulbs, 5 blue bulbs, 9 green bulbs and one cach
of yellow, white and orange.
(a) How many ways can they arrange these
coloured bulbs along their electrical cord?
(b) How many of these arrangements will have
the 5 blue bulbs together?
7. A school Debate Club has 15 members of which
7 are boys and 8 are girls.
(a) How many ways can a teacher choose 3
members of the club to represent the school?
(b) How many ways can 3 debaters be chosen if
the teacher avoids choosing all boys and all
girls?
8. A box contains 9 white balls and 3 black balls. If
3 words
Page 3 of 4
100%
help_outline

Image Transcriptionclose

Counting (1) (Protected View) - Word X Sign in Tell me what you want to do Mailings 8Share File Home Insert Design References Review Layout View Enable Editing PROTECTED VIEW Be careful-files from the Internet can contain viruses. Unless you need to edit, it's safer to stay in Protected View. (b) How many of the arrangements in (a) will have the letters 'O'together? 4 trombones and 1 drum. He has to choose the musicians from a group of 25 people, Each person in the group can play any of the instruments mentioned. The director is only concerned with the arrangement of the instruments, that is, he views all the players as identical. (a) How many arrangements are possible? (b) How many arrangements are possible if the director decides to put the drum in the centre, the trumpets and trombones on the left and the clarinets and flutes on the right? 5. A box contains 20 coloured balls. There are 5 balls each with the following colours: blue, red, yellow and green. The 5 balls of each colour are numbered from one to five. 4 balls are randomly selected at once. (a) How many ways can 4 ballls of the same colour be selected? (b) How many ways can exactly 2 of the 4 balls selected have the same colour? (c) How many ways can the 4 balls selected consist of 2 balls each of two different numbers? Abox contains nine white marbles and three black marbles. Four marbles are randomly selected at once from the box. 11. 6. (a) How many ways can a teacher form a committee of 3 members from a class of 4 boys and 3 girls? (b) How many committees in (a) has exactly one girl? (c) How many committees in (a) has at least one girl? (a) How many ways can you select exactly one black marble? (b) How many ways can you select at least one black marble? 12. A newly married couple wants to put up a string of coloured lights for a party in their house. They have an clectrical cord which can hold 25 light bulbs in a line. The couple has 8 red bulbs, 5 blue bulbs, 9 green bulbs and one cach of yellow, white and orange. (a) How many ways can they arrange these coloured bulbs along their electrical cord? (b) How many of these arrangements will have the 5 blue bulbs together? 7. A school Debate Club has 15 members of which 7 are boys and 8 are girls. (a) How many ways can a teacher choose 3 members of the club to represent the school? (b) How many ways can 3 debaters be chosen if the teacher avoids choosing all boys and all girls? 8. A box contains 9 white balls and 3 black balls. If 3 words Page 3 of 4 100%

fullscreen
check_circleExpert Solution
Step 1

To count the number of required selections

Step 2

a) There are 4 colors, first choose the color in 4 ways, 4 balls can be chosen from 5 in 5 C4 = 5C1 = 5 ways. So the total number of selections is 4 x 5 =20

20 balls,5 in each color;
a) number of selections
=(number of colors) x 5C
-4x5
=20
help_outline

Image Transcriptionclose

20 balls,5 in each color; a) number of selections =(number of colors) x 5C -4x5 =20

fullscreen
Step 3

b) Number of colors is 3, so the number of selections of color = 4C3=4. Two of the same color are selected in  10 ways, The ...

20 balls, 5 in each color
b) number of selections
4C x 5C, (of same color)x 5x5
5x 4
-x 5x5
= 4x-
2
1000
help_outline

Image Transcriptionclose

20 balls, 5 in each color b) number of selections 4C x 5C, (of same color)x 5x5 5x 4 -x 5x5 = 4x- 2 1000

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour*

See Solution
*Response times may vary by subject and question
Tagged in

Math

Advanced Math

Related Advanced Math Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: A department store chain has up to $22,000 to spend on television advertising for a sale. All ads wi...

A: Let the number of ads on daytime, prime time late night is x , y , z respectively.Since the number o...

question_answer

Q: Assume that Pr[E]=0.65Pr[E]=0.65, Pr[F]=0.35Pr[F]=0.35, Pr[G]=0.6Pr[G]=0.6, Pr[E∩F]=0.15Pr[E∩F]=0.15...

A: Given:

question_answer

Q: choose the correct option  a) (beginbmatrix27 45endbmatrix)  b) (beginbmatrix27 -45endbmatrix) c) (b...

A: To find a solution to the system as per the least squares method,

question_answer

Q: Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dim...

A: Consider the given function,Compute the derivative of given function,

question_answer

Q: Topic Set theory A family discussed where their annual reunion should take place. They found that of...

A: Let P represents the number of family members would not go to a park, B represents the number of fam...

question_answer

Q: 8

A: Recall the following fact.

question_answer

Q: Where do I start on this problem? Do I take the lowest common denominator and multiply it by both si...

A: Obtain the value of the equation as follows:

question_answer

Q: what is the formula for converting gallons to pints?

A: From the given information it is needed to calculate the formula for converting gallons to pints.So,

question_answer

Q: Use the indicated row operation to change matrix A, where T1 -2 -1 2 10 4 1 A 2 2 1 Add 7 times row ...

A: To perform the required row transformatin on the given (augmented) matrix