In how many ways can 5 red and 4 white balls be drawn from a bag containing 10 red and 8 white balls?

Q: In how many ways can we arrange 3 boys and 3 girls in a circular table if:  All boys and girls are…

A: Given, 3 boys and 3 girls       To find, In how many ways can we arrange them if all boys and girls…

Q: In how many ways can you 9 players be choosen from a team with 14 members?

A: Given:Total number of members in the team, n = 14.Number of players to be selected, r = 9.

Q: in how many different ways can 7 potted plants be arrangesd in row

A: We can arrange n things in n! ways in a row.

Q: Find the number of the permutation of 8 different things taken 3 at a time

A:

Q: If a dealer randomly picks 5 cards from a standard deck that consists of 52 playing cards and then…

A: From the above data We are given that Total number of cards = n =52 No of selected cards = r =3

Q: In how many different ways can a 4-child family have 2 boys and 2 girls?

A: To determine: Ways can a 4-child family have 2 boys and 2 girls.

Q: How many arrangements of 9 little league players are possible if there are 20 kids who wish to play…

A: The objective of this question is to find out the number of possible arrangements of 9 players out…

Q: In how many ways can a hand of 4 diamonds be chosen from an ordinary deck?

A: The combination formula is given by

Q: How many ways exist to arrange 7 books (A, B, C, D, E, F, and G on the shelf,  if the books B and

A:

Q: As the project manager of a project, you are in charge of a team of seven people which includes…

A:

Q: how many ways can a committee of three men and four women can be formed from a group of nine men and…

A: Given data, No of men =9 No of women =6 In how many ways can a committee of three men and four…

Q: how many ways can Dr. Yes invite 8 of his friends if he has to invite at most 4 at a time?

A:

Q: If 4 coins are tossed, in how many ways can they fall?

A: Each coin has two possible outcomes - heads or tails.    H = Heads, T = Tails Each of the 4 tosses…

Q: In how many ways can a committee of four Democrats and five Republicans be formed from a group of…

A: The objective of this question is to find out the number of ways a committee can be formed from a…

Q: In how many ways can 7 people be seated in a row if only 4 chairs are available?

A: Here 4 chairs are available and 7 people can be seat.

Q: A bag contains 4 each of red, blue, green, and yellow balls. How manyways are there to select 8 so…

A: According to the provided information, a bag contains 4 each of red, blue, green, and yellow balls.…

Q: If 4 marbles are picked randomly from a basket containing 5 blue marbles and 8 yellow marbles, in…

A: This is the problem of combinatorial.

Q: In how many ways can 6 different cupcakes be arranged in a circular stand?

A: The number of ways n items can be arranged in a circle is equal to n-1!. The formula for n! is…

Q: How many ways are there to deal a hand of 4 cards if you dont care about the order of cards in your…

A: In a standard deck of cards, there are total 52 cards.

Q: A bag contains 7 black and 4 white balls. In how many ways can we draw from the bag groups of 5…

A:

Q: 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:

Q: 5. How many arrangements can be made from 4 boys and 4 girls if they have to sit in a roundtable and…

A: We have given that  Number of boys=4 Number of girls=4

Q: If a dealer randomly picks 5 cards from a standard deck that consists of 52 playing cards and then…

A: Introduction: The dealer first picks 5 cards from the standard deck, then shuffles the 5 cards and…

Q: How many different patchwork quilts, four patches long and three patches wide, can be made from five…

A: Given: Five red and seven blue squares.   To determine: The number of different patchwork quilts…

Q: In how many different ways can 9 people arrange themselves in a line to receive service from a…

A: Given information: There are total 9 people arrange themselves in a line to receive service from a…

Q: In how many ways can four English books, three statistics books, three chemistry books and two…

A: Number of English books = 4 Number of statistics book = 3 Number of chemistry book = 3 Number of…

Q: In how many ways can a committee of five Democrats and six Republicans be formed from a group of…

A: The objective of this question is to find the number of ways a committee can be formed from a group…

Q: In how many ways can 16 balls be drawn from an urn containing 3 red balls, 8 white balls, and 5 blue…

A: We have given that,  Red balls = 3  White balls= 8  Blue  balls= 5 Then,  We wil find the how many…

Q: In how many different ways can five red flags, two white flags, and 7 blue flags be arranged in a…

A: If all the flags were distinct, each flag being a different color, there would be 14! different…

Q: ow many way

A: The probability containing a pack of 52 cards.

Q: In how many ways can a bag of three identical balls and four identical coins be formed from a group…

A: Given: Total number balls =12 Total number coins =12

Q: how many ways can a hand of 7 spades be chosen from an ordinary deck?

A: Given that  Ordinary deck of cards Number of ways of can a hand of 7 spades be chosen from ordinary…

Q: How many different sets of 5 cards can be formed from a standard deck of 52 cards?

A: We need to find the number of different 5 card sets that can be formed from a deck of 52 cards. Now,…

Q: 6. How many ways can my daughter put 50 pairs of shoes on 4 dolls ?

A: It is given that, We have 50 pairs of shoes and there are 4 dolls. We know that if n object can be…

Q: In how many ways can three dogs, four cats, four rabbits and two pigs be arranged in a row so that…

A: Given,no.of dogs=3no.of cats=4no.of rabbits=4no.of pigs=2

Q: In how many ways one can select a group of three students out of 6 boys and 4girls. If a group…

A: Given : Number of boys = 6 Number of girls = 4 we have to select a group of three students a) two…

Q: In how many ways can five people be divided into two groups of one person and one group of three…

A: Solution: Given data : Total people= 5 people in groups Two groups  of one people One group of three…

Q: In how many ways can 5 boys and 4 girls be arranged on a bench if there is no restriction? How about…

A:

Q: how many ways can 2 men, 3 women, 4 boys, and 5 girls be selected from 4 men, 5 women, 6 boys and 7…

A:

Q: 3. There are 6 men and 5 women in a room. In how many ways we can choose 3 men and 2 women from the…

A: We have given that the 6 men and 5 women. Total number of persons are 11.   Combination formula: C(…

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.