1. Zip Codes How many 5-digit zip codes arepossible if digits can be repeated? If there cannot berepetitions?10. Secrebe mare p2. Letter Permutations List all the permutations of theletters in the word MATH11. Pass1,2be r3. Speaking Order Seven elementary students are se-lected to give a 3-minute presentation on what they didduring summer vacation. How many different ways canthe speakers be arranged?havin t12. Au4. Visiting Nurses How many different ways can a visit-ing nurse visit 9 patients if she wants to visit them all inone day?Hci13. E5. Quinto Lottery A lottery game called Quinto is playedby choosing five numbers each, from 0 through 9.How many numbers are possible ? Although repeats areallowed, how many numbers are possible if repeats arenot allowed?6. Show Programs Three bands and two comicsare performing for a student talent show. Howmany different programs (in terms of order) can bearranged? How many if the comics must performbetween bands?14.7. Rolling Dice If five dice are rolled, how many different15outcomes are there?8. Radio Station Call Letters The call letters of a radiostation must have 4 letters. The first letter must be a Kor a W. How many different station call letters can bemade if repetitions are not allowed? If repetitions areallowed?At the Bogue Film Festival, the

Question
Asked Oct 28, 2019
36 views
1. Zip Codes How many 5-digit zip codes are
possible if digits can be repeated? If there cannot be
repetitions?
10. Secre
be m
are p
2. Letter Permutations List all the permutations of the
letters in the word MATH
11. Pass
1,2
be r
3. Speaking Order Seven elementary students are se-
lected to give a 3-minute presentation on what they did
during summer vacation. How many different ways can
the speakers be arranged?
hav
in t
12. Au
4. Visiting Nurses How many different ways can a visit-
ing nurse visit 9 patients if she wants to visit them all in
one day?
H
ci
13. E
5. Quinto Lottery A lottery game called Quinto is played
by choosing five numbers each, from 0 through 9.
How many numbers are possible ? Although repeats are
allowed, how many numbers are possible if repeats are
not allowed?
6. Show Programs Three bands and two comics
are performing for a student talent show. How
many different programs (in terms of order) can be
arranged? How many if the comics must perform
between bands?
14.
7. Rolling Dice If five dice are rolled, how many different
15
outcomes are there?
8. Radio Station Call Letters The call letters of a radio
station must have 4 letters. The first letter must be a K
or a W. How many different station call letters can be
made if repetitions are not allowed? If repetitions are
allowed?
At the Bogue Film Festival, the
help_outline

Image Transcriptionclose

1. Zip Codes How many 5-digit zip codes are possible if digits can be repeated? If there cannot be repetitions? 10. Secre be m are p 2. Letter Permutations List all the permutations of the letters in the word MATH 11. Pass 1,2 be r 3. Speaking Order Seven elementary students are se- lected to give a 3-minute presentation on what they did during summer vacation. How many different ways can the speakers be arranged? hav in t 12. Au 4. Visiting Nurses How many different ways can a visit- ing nurse visit 9 patients if she wants to visit them all in one day? H ci 13. E 5. Quinto Lottery A lottery game called Quinto is played by choosing five numbers each, from 0 through 9. How many numbers are possible ? Although repeats are allowed, how many numbers are possible if repeats are not allowed? 6. Show Programs Three bands and two comics are performing for a student talent show. How many different programs (in terms of order) can be arranged? How many if the comics must perform between bands? 14. 7. Rolling Dice If five dice are rolled, how many different 15 outcomes are there? 8. Radio Station Call Letters The call letters of a radio station must have 4 letters. The first letter must be a K or a W. How many different station call letters can be made if repetitions are not allowed? If repetitions are allowed? At the Bogue Film Festival, the

fullscreen
check_circle

Expert Answer

Step 1

From given information,

Let the sample be –

Sample = {0,1,2,3,4,5,6,7,8,9}

Five digits code can be found as:

Here, repetition of digits is allowed.

Step 2

The required number of ways-

9x10x10x10x10
=90,000
help_outline

Image Transcriptionclose

9x10x10x10x10 =90,000

fullscreen
Step 3

first place can-not be filled with zero for a five digits number, hence there are 9 ways to fill 1st place. For, 2nd place there are 10 digits ...

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

Probability

Related Probability Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: in a classroom of 30 students, what is the probability that at least two of the students share a bir...

A: Introduction:The probability of an event is the number of cases favorable for the event, divided by ...

question_answer

Q: Source: www.poll 25. Survey on Bathing Pets A survey found that 25% of pet owners had their pets bat...

A: 25.The random variable X, ‘number of people have their pets bathed professionally’ follows binomial ...

question_answer

Q: At age 50, Ann must choose between taking $18,000 at age 60 if she is alive then, or $32,000 at age ...

A: Given The probability of a person aged 50 living to be 60 is 0.81The probability of a person aged 50...

question_answer

Q: According to a report, 9.5% of all full-time S.A. undergraduate students study abroad. Assume that 6...

A: Preliminary observations from given information:The probability of student study in abroad is 0.095....

question_answer

Q: A woman purchased a $15,000 1-year term-life insurance policy for $200. Assuming that the probabilit...

A: Expected value:The expected value of a random variable is the sum of the possible values that the ra...

question_answer

Q: Phil Dunphy, a real estate agent, is considering whether he should list an unusual $372,875 house fo...

A: Expected value:The expected value of a random variable is the sum of the possible values that the ra...

question_answer

Q: . It is estimated that 90% of all 19-year-old men have weights ranging from 117 to 207 lb. Assuming ...

A: Z-score:A z-score is a standard score that represents the number of standard deviation away from the...

question_answer

Q: A family has three children. Assuming a boy is as likely as a girl, determine the probability of the...

A: To work out the required probabilities by counting

question_answer

Q: A financial services committee had 60 members, of which 8 were women. If 7 members are selected at r...

A: a. The probability that 6 men and 1 woman are selected is 0.4217 and it is obtained below: From the ...