In how many ways can a group of 3 men and 2 women be made out of a total of 6 men and 4 women? Select one: O a. none of these Ob. 1440 120 o d. 30

Q: In a survey of a TriDelt chapter with 50 members, 16 were taking mathematics, 35 were taking…

A: Given information: 50 members, 16 were taking mathematics, 35 were taking English, and 5 were taking…

Q: In a shipment of 10 items where 3 are defective. In how many ways can you receive 4 items where 2…

A:

Q: Given n(S)=31n(S)=31, n(T)=18n(T)=18, and n(S∪T)=45n(S∪T)=45, determine n(S∩T)n(S∩T).

A:

Q: There are 5 tasks need to be completed at the construction site. In how many ways can 23 workers be…

A: There are 23 workers. They will be divided into 1 group of 7 and 4 group of 4 with each group. So,…

Q: M&M’s® offers customers the opportunity to create theirown color mix of candy. There are 21…

A:

Q: T: Out of 10o Families with # 4 children lach how many would you expect o bo have at Leasb one boy.

A: Let, X=the number of boys  n=number of trials=4 p=probability of success=1/2=0.5  X follows a…

Q: Given M1 = −5, s1 = 4.6, n1 = 72, M2 = − 1, s2 = 3.3, and n2 = 60, calculate t.

A:

Q: Find the number of elements in the set {o E S4lo (3) = 3}.

A:

Q: 3) In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?

A: Given,             A group of 5 men and 2 women be made out of a total of 7 men and 3 ways.

Q: A survey asked 750 people whether they like chocolate (C), butterscotch (B), or strawberry on…

A: Idea: from the diagram we can see how many people liking one flavour,two flavours and three…

Q: A survey of 200 people yielded the following information: 94 people owned a Blu-ray player, 125…

A:

Q: From a survey of 100 college students, a marketing research company found that 80 students owned…

A: We have to find probability..

Q: If n(A U B) = 21, n(A n B) = 16, and n(B) = 19, find n(A). n(A) =

A:

Q: The number of possible permutations if r objects are taken from n items is nPr =________.

A:

Q: 5. Show that for n attributes A, B, C, ...M. ... (ABC... M) ≥ (A) + (B) + (C) +. +(M)-(n-1) N, where…

A:

Q: A committee of 5 students is to be selected from 16 students in a fraternity. a. In how many ways…

A: Given that a committee of 5 students is to be selected from 16 students in a fraternity. a We have…

Q: If n(A) = 45, n(B) = 23, and n(A n B) = 8, find n(A U B).

A:

Q: at a school assembly,4 out of the first 10 students were wearing spirit wear. Based on this…

A: Total number of student at school assembly = 500

Q: If n(A) = 42, n(B) = 15, and n(AN B) = 1, find n(A U B).

A:

Q: In how many ways can 7 people A, B, C, D, E, F and G be seated at a round table so that no two of A,…

A: As we know that no. of ways 'n' people can be seated around a round table = (n-1)!

Q: In a survey of 97 pet owners, 26 said they own a dog, and 61 said they own a cat. 18 said they own…

A: Given : Total number of pet owners = 97 number of dog owners= 26 number of cat owners = 61  number…

Q: Suppose a, b e (0, 5) and a b – a.

A:

Q: Assume that a grade of A,B,C,D, or F is assigned to each of 9 students. In how many ways can grades…

A: From the provided information, The grades are A, B, C, D or F Total students = 9

Q: Answer the questions below. (If necessary, consult a list of formulas.) (a) From a collection of 52…

A: a) The formula for combination is nCr= n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)] / r!.…

Q: If n(A) = 45, n(B) = 22, and n(A N B) = 9, find n(A U B).

A: By using inclusion and exclusion formula, we calculate the required value.

Q: A teacher requires a student to answer 5 out of 10 questions, without regard to order. How many ways…

A: Number of ways to choose r items out of n items is given by formulae: nCr Here C represents…

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

A:

Q: Suppose we want to choose 5 colors, without replacement, from 15 distinct colors. (a) How many ways…

A:

Q: If C(n, 5) = 252, then n = 8. Option 1 9. O 10 O O O

A: Solution

Q: If n(A) = 41, n(B) = 22, and n(A n B) = 6, find n(A U B).

A:

Q: If n(A) = 67, n(8) = 15, and n(A N B) = 9, find n(A U B).

A: Topic- sets

Q: A survey asked a group of 51 school children which foods they liked to eat. 30 liked pizza, 12 liked…

A:

Q: A computer programming team has 13 members. Suppose seven team members are women and six are men.…

A:

Q: If n(A) = 41, n(B) = 18, and n(A n B) = 6, find n(A U B).

A:

Q: A manager wants to award prizes for 1", 2nd and 3rd to his team members according to number of new…

A:

Q: In how many ways can we seat 7 people at a round table with a certain 3 people side by side?

A:

Q: In a survey of 359 people, a pet food manufacturer found that 23 owned a dog but not a cat, 140…

A:

Q: Suppose a group of twelve (12) people consists of five (5) men and seven (7) women. How many…

A:

Q: Suppose a soccer team has a record of 10 wins, 7 losses, and 3 ties. In how many ways can this…

A:

Q: 11. There are 6 people, out of which you have to choose 3 to be part of a committee, first a…

A: Given that:   There are 6 people, out of which you have to choose 3 to be part of a committee.   So,…

Q: Suppose we want to choose 6 colors, without replacement, from 14 distinct colors. (a) If the order…

A: We need to find no. of ways.

Q: If n(A) = 41, n(B) = 21, and n(A n B) = 9, find n(A U B).

A: Given n(A) = 41 n(B) = 21 n(A n B) = 9

Q: Assume that a grade of A, B, C, D, F, or NC is assigned to each of 10 students. In how many…

A: Given ,Grades are  A, B,C,D,F or NCTotal grades = 6No. of students = 10

Q: In a certain class of 25 students, 12% received A’s, 30% received B’s, 42% received C’s, and 12%…

A:

Q: 4 Which of the following represents inear tunctfen C. B. D. 十+ ++

A: To write that which function is a linear function

Q: If 4 marbles are picked randomly from a jar containing 8 red marbles and 7 blue marbles, in how many…

A:

Q: A bowl contains 7 red balls, 5 white balls, and 3 green balls. In how many ways can 3 balls be drawn…

A: Given,no.of red balls=7no.of white balls=5no.of green balls=3Total no.of balls=15

Q: Compute the following numbers:d. How many 5-card poker hands are possible? (There are 52 total cards…

A: Combination: The number of different selections of ‘r’ elements from a set of ‘n’ elements is…

Q: In a group of 52 persons, 16 drink tea but not coffee amd 33 drink tea. Find (i) How many drink tea…

A: Introduction :

Q: For the experiment in which the number of pumps in use at a single six-pumps gas station is…

A: 1.Look elements of both set A and B carefully 2. Cancel all the elements which is found similar in…

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.