A bag contains 2 white and 3 black balls. Four persons A, B, C and D in the order named each, draw one ball and do not

Q: Tom has 16 blue pencils, of which 12 are striped dark blue and light blue, and the rest are solid…

A: There are 16 blue pencils and 9 red pencils out of which 12 are striped dark blue and light blue and…

Q: A box contains 9 red, 8 blue, and 13 green balls of the same size. How many balls, do we need to…

A:

Q: You must select 3 individuals from a group of 5 for a conference. How many teams of 3 might you…

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Q: Five people applied for jobs at a store. Only two of these people will be hired. The number of…

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Q: The 14 teams in the local Little League are listed in the newspaper. How many listings are possible?

A: In this case, there are 14 teams in the local little league.

Q: Imagine a game show on television where one lucky contestant is presented with three upside-down…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Each of the teams in a mixed volleyball league consists of 5 men and 5 women. There are 9 men and 10…

A: We have to use combination theory to find out the number of ways.

Q: There are 8 blue, 12 red, 6 yellow and 4 pink marbles in a bag. Assuming you can pick one; P (yellow…

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Q: ains 5 red,4 white and 3 blue balls .3 balls are drawn at random. find out the number of ways of…

A: The box contains 5 red , 4 white and 3 blue balls.  It is given that 3 balls are drawn at random…

Q: In a bag containing 5 white balls and 6 black balls, how many ways can we draw a white or a black…

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Q: A committee of fifteen people is having a meeting this afternoon. There are twenty one spaces to…

A: There are 3 different lots L1,L2,L3 Total spaces=21 (out of 21 6 are closed for renovation) total…

Q: Your car seats 5 people, including the driver. You have 4 friends who all do not have driver’s…

A: The objective of this question is to find out the number of different ways the 4 friends can arrange…

Q: You are dealt 5 cards from a deck of 52. Let X represent the number of hearts that you are dealt.…

A: We have to find given probability.

Q: If mark has 17 grapes And gives away 2. how Many does he have left?

A: Subtraction problem

Q: The Diaz family is selecting a furniture set. A furniture set has a bed, a desk and a dresser. There…

A: The objective of this question is to find out the total number of different furniture sets the Diaz…

Q: Mr. H has a collection of 500 vessels. In how many ways can he name his favorite and second favorite…

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Q: in a survey of 80 fifth grade students who play soccer,basketball,or both,60 students play and 40…

A: Form the given information, In a survey of 80 fifth grade students who play soccer, basketball or…

Q: if  there was 56 students and 8 groups how many were in each group

A: Given that  Number of students=56 Number of groups=8 To find Number of students in each group.

Q: a law firm has 8 male and 6 females lwayers. a committee of 5, two male lawyers and 3 female…

A: The objective of the question is to find out the number of possible committees that can be formed…

Q: Find the number of different ways to draw a 5-card hand from a standard deck (four suits with 13…

A: Solution : Find the number of different ways to draw a 5-card hand from a standard deck  of cards to…

Q: Find the number of ways to break a group of 12 people into 3 smaller groups, at least one person per…

A: The problem boils down to finding the number of solutions to x_1+x_2+...+x_r=n. We refer a standard…

Q: A dish contains 2 yellow, 4 red, 5 purple, 2 green, and 3 orange candies.  How many sets of 6…

A: A dish contains 2 yellow, 4 red, 5 purple, 2 green, and 3 orange candies.

Q: A bag contains 4 red marbles, 3 green ones, 1 lavender one, 3 yellows, and 2 orange marbles. How…

A: Since it is set so order does not matter. we will use combination method At least three means 3 or 4…

Q: a law firm has 8 male and 6 females lwayers. a committee of 5, two male lawyers and 3 female…

A: The objective of this question is to find out the number of possible committees that can be formed…

Q: Find the number of 8 card hands that have 2 red cards and 6 black cards. (Two of the suits are red…

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Q: Q6. In how many way, can a manager .arrange 16 employees into 4 groups

A: Number of ways = 16C4

Q: A child has fewer than 300 baseball cards. If he puts them in piles of 3​, 4​, 6​, 15​, or 18 he has…

A: Let, the child has x baseball cards.  Then, according to the given problem,        x = 1 (mod 3)…

Q: Lenny has 5 friends in his neighborhood. In how many ways can he choose 3 to help him move…

A: Lennh has friends = 5 Number of friend to be chosen = 3

Q: Assume we have 23 coloured trousers and 12 coloured t-shirts. How many coloured suits (trousers +…

A: Here we have 23 colored trousers and 12 coloured t-shirts. And we have to find how many suits we can…

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

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Q: In the Summer Olympics, there were eight runners in the final of the men's 100 meter dash. This race…

A: There are six non-USA runners, and we want to find the number of possible podium finishes that don't…

Q: A baseball team has 14 players. How many 9​-player batting orders are​ possible?

A: Given : A baseball team has 14 players.

Q: A baseball team has 13   players. How many 9​-player batting orders are​ possible?

A:

Q: Pauline has seven dancers to choose from to fill the positions as playing cards in a production…

A: Given that there are 7 cards and 7 dancers.  The first dancer can be assigned in 7 ways.  When the…

Q: A poker hand consists of five cards from a deck of 52.  Order does not matter.  In how many ways can…

A: A poker hand consists of five cards from a deck of 52.   Order does not matter i.e. combination is…

Q: Find the number of playing cards in a standard deck of 52 cards that are either tens or red cards…

A: Find the number of playing cards in a standard deck of 52 cards that are either tens or red cards…

Q: If A = {1, 2, 3, 4, 5}, B = {1, 3, 4, 6}, C = {1, 6, 7}.

A: