How many ways can 3 bowlers be chosen to get a bye in the first round of a bowling tournament with 29 bowlers?

Q: At a NASCAR racing event, how many different finishes among the first 5 places are possible if 30…

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Q: Tony and Maria are two star-crossed lovers trying to get on a committee of 4 people. If there are 10…

A: Consider that the 10 people includes Tony and Maria.

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: There are 5 defective light bulbs in a bin containing 60 light bulbs. How many ways can you select…

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Q: In a basketball tournament, 8 teams are participating to compete for the top 4 places that will…

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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: A baseball team has 13 members: 10 male and 3 female. How many ways are there for choosing a roster…

A: Given that a baseball team has 13 members: 10 males and 3 females,

Q: A senate committee has 15 members.  If a subcommittee of 6 senators is to be formed from the…

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Q: nts in different ways.

A: We can select 6 different restaurant from 8 is =28 ways

Q: How many different committees can be formed from 9 teachers and 33 students if the committee…

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Q: A bag contains 5 red marbles, 3 blue marbles, and 1 green marble. Find P(not blue).

A: Given information- A bag contains a total of 9 marbles (5 red marbles, 3 blue marbles, and 1 green…

Q: In a box 20% balls are white, 33% balls are blue, 27% balls are red and rest are green. If the…

A: In a box 20% of balls are white, 33% of balls are blue, 27% of balls are red and the rest are green.

Q: A committee of six people is chosen from eight women and seven men.  How many          different…

A: Solution: From the given information, there are 8 women and 7 men. Here, 6 people are chosen at…

Q: A criminal gets to pick his punishment by choosing among three rooms.  The first is full of burning…

A: There are three rooms First is full of burning fires Second is full of assassins with loaded guns…

Q: How many different ways can the golf pro at a golf club select a foursome consisting of 1 man and 3…

A: Given,   Number of males = 8 Number of females = 11   The objective is to find how many different…

Q: The group of qualified candidates for five positions is made up of eight women and six men. How many…

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Q: Find the number of ways in which nine contestants can be ranked first, second, third, fourth and…

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Q: How many ways can 3 sopranos and 5 altos be selected from 7 sopranos and 9 altos?

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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: How many different committees can be formed from 12 teachers and 39 students if the committee…

A: No. of teachers=12no. of students=39committee should consist of 3 teaches and 2 students

Q: reen plates, 7 white plates ans 9 blue plates. In how many ways can a person make a selection of…

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Q: ee has 9 members, consisting of 5 Republicans and 4 Democrats. An education group of 3 members is…

A: n= 9 R = 5 D = 4 Using the combination formula. Ways of selecting 3 members from 9 are:

Q: A secretary & a treasurer of a club are to be selected from 4 different members. How many ways can…

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Q: In a small town, there are 97 families, of which 51 families have at most 2 children. In a urban…

A: 20 families are chosen from 97 families at least 18 must have at most 2 children So let no of…

Q: Determine the number of ways such that 5 men and 5 women be seated at a round table if no two women…

A: No. of men = 5  No. of women = 5

Q: A committee of 3 men and 2 women is to be chosen from a group of 12 men and 8 women. Determine the…

A: Given: A committee of 3 men and 2 women is to be chosen from a group of 12 men and 8 women. To Find:…

Q: Tony and Maria are two star-crossed lovers trying to get on a committee of 4 people. If there are 9…

A: As per the question There are total 9 persons and a committee of 4 people are selected. In this…

Q: A school group is deciding how to line up its 10 members for a photo. The president will go first.…

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Q: Natasha is in a class of 30 students that selects 4 leaders. How many ways are there to select the 4…

A: Given that  Natasha is in a class of 30 students that selects 4 leaders.  To find Number of ways are…

Q: Find the number of different ways that 995 contestants can win different first, second and third…

A: Given information- We have given that there are 995 contestants. We have to find the number of…

Q: In a​ bag, there are 6 purple and 12 green marbles. If you reach in and randomly choose 5 ​marbles,…

A: Given, there are 6 purple and 12 green marbles in a bag To find the number of ways to choose exactly…

Q: 40 yellow balls and 40 blue balls are in a single bag. If 5 random balls would be selected,…

A: Given data: 40 yellow balls and 40 blue balls are in a single bag. If 5 random balls would be…

Q: Out of forty students, 14 are listening music and 29 are watching k-drama as their hobby. If 5…

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Q: you have 5 pair of white socks and 10 pair of black sock in a drawer. you randomly choose two pair.…

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Q: A computer operator must select 3 jobs from 11 available jobs waiting to be completed. How many…

A: A combination is grouping or subset of items. Also it is the selection of items in which order does…

Q: Seven women and nine men are on the faculty in the mathematics department at a school. How many ways…

A: Given : In a Mathematics department of school ; No. of women = 7 No. of men = 9 Sample size (n) = 6…

Q: From 5 men and 4 women, how many committees can be selected consisting of: - 3 men and 2 women? - 5…

A: Solution: Given information: 5 men  4 women.   3 men can be selected from 5 men in 5C3 ways.  and 2…