3. Five flags are posted in a row. In how many ways can these flags be posted if the Philippine flag will be at the middle? 5040 720 O 120 O 24

Q: How many ways can a committee of at least two people be formed from a group of 6 people? O 15 63 57…

A: We use permutation and combinations to solve the given problem as in next step.

Q: IFthe mcl=35 then the mc3 =?

A:

Q: if A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7} what is A n B?

A:

Q: In how many ways can 7 graduate students be assigned to 1 triple and 2 double hotel rooms during a…

A: We can interpret this question as how to split seven students into groups of 3, 2 and 2.

Q: A shipment of 12 television sets contains 3 defective sets. In how many ways can a hotel purchase 5…

A: Given that 12 television sets contains 3 defective sets. We have to find  how many ways can a hotel…

Q: 4. How many combinations of 4 objects are there taken 2 at a time? O 12 O 24 O 6 2

A:

Q: 11. Find N, where M = (5, 9, -3) and MN = −3[2,3,4]

A:

Q: 6. In how many ways can 3 men and 3 women arrange themselves in a row for picture taking if the men…

A: There are 2 possible arrangements for male and female: Here M=Male W=Female

Q: may a. In how many ways may the scholarships be awarded such that 2 men and 2 women are selected. b.…

A: Here given , there are 4 different prizes  And here there are 5 men and 4 women in group of scholar…

Q: The number of permutations of letters a, b, c, and d taken 3 at a time is Select one: 4 24 30…

A: Answer: 24

Q: n how many ways can 6 women and 3 men be seated in a row of 9 seats at a movie theatel assuming that…

A: Number of women = 6 number of men = 3

Q: 15. In how many ways can the 8 members of the committee be chosen from 15 senior and 10 junior…

A: Here use combination

Q: 5. If there are 13 people and only 6 chairs are available. In how many ways they can be seated? A.…

A: The number of people is 13 and the number of chairs available is 6.

Q: a) How many four-letter words may exist in this language? b) How many four-letter words can be…

A: “Profanities” in a rudimentary language whose alphabet consists of the five letters A, B, C, D, and…

Q: 6. A committee of 4 must be chosen from 6 girls and 5 boys. In how many ways can this be done if the…

A:

Q: Suppose you have 5 different flags available to make a signal. How many ways can this be done if…

A: Given there are 5 different flags.

Q: B) How many different ways can 6 red, 8 yellow, 12 black, 7 green and 10 blue of bulbs be arranged…

A:

Q: A bag contains 11 pieces of candy. In how many ways can four pieces be selected? way(s)

A: To find: The number of ways of 4 pieces of be selected.

Q: 25. A boy owns 3 pairs of pants, 5 shirts, and 2 jackets. How many different outfits can he wear to…

A: Given, a boy owns 3 pairs of pants, 5 shirts and 2 jackets.

Q: In how many ways can the letters u, v, w, x, y, z be arranged so that the letters u and v are…

A: Given: letters u, v, w, x, y, and z

Q: A basket contains 4 bananas, 5 mangoes and 3 avocados. How many ways can 3 bananas, 2 mangoes and 1…

A:

Q: 19. In how many ways the judges of 2021 Miss Universe Pageant can choose 5 winners out of 74…

A:

Q: 7) A tourist in France wants to visit 12 different cities. How many different routes are possible?…

A: Answer of q-7    12 different city to visit We have to find nom of different routes possible Here…

Q: - Find N, where M=(5, 9, -3) and MN = -3[2,3,4]

A:

Q: 3. How many different signals can be made by displaying five flags, all at one time, on a vertical…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: An urn contains 6 green balls and 7 red balls. A man selects balls at random without looking at…

A:

Q: If A={2,4,6,8,10,12,14} and B={1,3,6,9,12,15,18,21}. Find A∪B.

A:

Q: How many ways can five people, A, B, C, D, and E, sit in a row at a movie theater if D and E will…

A: There is total 5 people; A, B, C, D, E.

Q: A basket contains 4 apples, 6 mangoes and 7 guavas. How many ways can 4 apples be chosen all at…

A: The likelihood of all the observation in the event is known as probability. It is calculated by…

Q: If B = {3, 7, 10, 12} How many subsets of B can be formed?

A: 24 subsets of B can be formed.   The detailed solution is as follows below:

Q: 5) The Louise Arbour basketball team of 13 players line up to take the team photograph. a) How many…

A: This question has two parts. This is related to permutation. The solution is given below.

Q: 8. How many ways are there to seat four of a group of ten people around a circular table where two…

A:

Q: 3. a. How many ways can the letters of the word EMULATOR be written in a row? b. How many ways can…

A: We are entitled to solve only 3 subparts of a questions so, I am providing you the same. Kindly…

Q: d. If marbles from Bag C were drawn 10,000 times, about 600 red marbles are likely to be drawn. e.…

A: d. The number of red marbles are likely to be drawn from Bag C of 10,000 times is, Red…

Q: How many ways can 10 used cars at a parking lot be parked in a row if the 4 different black cars…

A: We have to find total number to ways to park 10 car such that 4 black cars must not be together.

Q: 10. How many ways can eight beads, no two of which are the same, be arranged on a chain with a…

A: ( 10 ) How many ways can eight beads no two of which are the same be arranged on a chain with a…

Q: In how many ways can 5 students line up for a registration?

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 1. Based on the Venn diagram below, how many students are on the baseball team? 25 9. 44 Baseball…

A: We can solve this question using the calculation as below

Q: 1. How many ways can you arrange 4 people in a row? 36 O 24 16 O 120

A: We know that  We can arrange n people  n!= n×(n-1)×(n-2) .........2×1

Q: 9. In how many ways can 4 b sit between two boys?

A: 9)  Given, 4 boys and 4 girls should be seated at a round table Each girl is to sit between 2 boys.…

Q: A committee of size 5 is to be chosen from a group of 6 men and 7 women. (a) How many different…

A: Given that 6 men and 7 women. Total people = 6 + 7 = 13

Q: In how many ways can 2 pizza toppings be chosen from 12 available toppings? O 74 58 O 43 66

A: It is asked to find the number of ways to select 2 pizza toppings from 12 available toppings.

Q: 2. Based on the Venn diagram below, how many students are taking geometry, but not biology? 17 8 22…

A:

Q: Based on the Venn diagram below, how many students are on the baseball team? 25 6. 9 44 Baseball…

A: From the venn diagram, 25 students are on the baseball team. 44 students are on the football team. 9…

Q: In how many different ways can 7 potted plants be arranged in a row with 5 spaces? O 720 O 2 520 5…

A: There are total 7 potted plantsThere are 5 spaces in a rowNumber of ways  to arrange 7 potted plants…

Q: If A={a,b,c} then how many elements does P(A) have?

A:

Q: a. Find the number of students who are taking all three mathematics subjects. b. Fill in the correct…

A: Venn diagrams are the diagrams that are used to represent the sets, relation between the sets and…

Q: If n(A)=10, n(B)=20, and n(AUB)=25, then find n(ANB).

A: given n(A)=10 n(B)=20   n(A∪B)=25 We have to find n(A∩B)

Q: 1. In how many ways can you arrange 7 books in a shelf? C. 4 050 2. Find the number of…

A: 1) The answer is “seven factorial”, or 7! This, mathematically is: 7x6x5x4x3x2x1=5040 So, option (D)…

Q: 3. How many three digit numbers can be formed from the set 0, 1, 2, 3 .........9 if repetitions are…

A: Here Given Digits  Total Number=10 Here we will use Combination Method for Counting..

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.