In how many ways can a group of 6 students be selected from 7 students?

Q: In how many ways can 6 girls and 3 boys sit on a row of 9 chairs in such a way that no two boys sit…

A: we have to solve given problems:

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 ways can 6 boys and 6 girls be seated around a circular table if all the no girls are…

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Q: In how many different ways can the director of a research laboratory choose two chemical engineers…

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Q: In how many ways can seven people be seated at a round table if 2 particular people must not sit…

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Q: In how many ways can a hostess select 6 luncheon guests from 10 women, if she is to avoid having a…

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Q: An employment agency has 6 temporary workers. In how many ways could 3 of them be assigned to 3…

A: In theory of combinatorics, the way of selecting r objects from n objects with regard to the order…

Q: In how many ways can a committee of 5 people be chosen out of 9 people?

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

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Q: In how many ways can five people boarding a bus be seated if the bus has seven vacant seats?

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Q: how many different ways can a coach choose three players from 8 bench players to replace 3 of the 5…

A: He can select 3 of the 5 starting players in 5C3=10 ways. He can select 3 of the 8 bench players in…

Q: In how many ways can 8 students be seated in a row if three particular students must always be…

A: Given information :- In how many ways can 8 students be seated in a row if three particular students…

Q: In how many ways can a party of 7 persons arrange themselves in a row of 7 chairs?

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Q: In how many ways can a comittee of 6 be chosen from 6 administrators and 4 supervisors if all are…

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Q: In how many ways can 9 books be arranged on a shelf if 5 particular books must always stand…

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Q: In how many ways can six men and five women be arranged in a row if no two women is standing next to…

A: Given,no.of mens=6no.of womens=5total no.of peoples=11

Q: in how many ways can a jury of 5 men and 7 women be selected from 10 men and 10 women?

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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?

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Q: In how many ways a team of 4 representatives can be chosen in a class of 12 students consisting of 5…

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Q: How many different ways can 5 out of 8 different shirts, 4 out of 10 different pieces of slacks, and…

A: Different ways can  5 out of 8 different shirts, 4 out of 10 different pieces of slacks, and 3 out…

Q: From a club of 16 people, in how many ways can a group of five members be selected to attend a…

A: Given Data: The number of people in the club is: n=16 The number of members required is: x=5 The…

Q: In how many ways can 6 bicycles be parked in a row?

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Q: In how many ways can a row of three contestants for a TV game show be selected from an audience of…

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

A: It is given that, a bag containing 10 red balls and 8 white balls. From this bag 5 red balls and 4…

Q: How many ways can a committee of 6 be selected from a club with 10 members?

A: The formula to calculate the number of ways to select b peoples from a total of a peoples is given…

Q: In how many ways could a club of 12 members choose a president, Vice President and a treasure?

A: GIVEN DATA : There are 12 members in the club. TO FIND : Number ways 12 members can choose a…

Q: How many ways can a committee of 4 be selected from a club with 22 members?

A: It is an important part of statistics. It is widely used.

Q: In how many ways can a group of 5 girls be selected from 8 if the eldest girl is included in each…

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

Q: How many ways to choose 4 out of the 10 candidates to be sent to a conference?

A: Combination Rule: The arrangement of r objects from n different objects is given by:

Q: In how many ways can a committee of three consisting of two lady engineers and one mal engineer can…

A: Given that  Committee consists of members  = 3  [ Lady engineers = 2 ; Male engineer =1 ] Lady…

Q: In how many ways can a person invite 3 out of their 11 closest friends to a dinner party?

A: Given ,        No of closet friends=11

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: In how many ways can a hostess select six luncheon guests from 10 women if she is to avoid having a…

A: Combination and permutations

Q: In how many ways can six pictures be selected from a group of ten different pictures?

A: It is given that 6 different pictures are to be selected from a group of 10 pictures, therefore,

Q: In how many ways can 9 individual be seated in a row of 9 chairs

A: 9 individuals are needed to be seated in a row of 9 chairs.

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 people arrange themselves in a row for picture taking?

A: Given that there are 5 people in a group.

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

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Q: In how many ways can a couple invite 3 out of their 15 closest friends to a dinner party?

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Q: In how many different ways can 4 passengers be seated in an airplane if each passenger can select…

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Q: In how many ways can five pictures be selected from a group of nine different pictures?

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Q: In how many ways can a student select 7 out of 10 questions to work on an exam?

A: Given that, The total number of question to work on an exam is, n=10 The student select number of…

Q: In how many ways can a selection of 3 men and 2 women can be made from a group of 5 men and 5 women…

A: First find in how many ways can women and men be chosen.

Q: In how many ways can you select a group of 7 red cards and 4 black cards from a deck containing 10…

A: We need to select 7 red cards out of 10 i.e. C(10,7)We need to select 4 black cards out of 9 i.e.…

Q: In how many ways can 16 different pizza toppings be chosen from 20 available toppings? There are…

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Q: How many ways can a committee of 2 be selected from a club with 12 members?

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Q: in how many ways can a committee of 9 students be chosen from 8 juniors and 10 seniors if there must…

A: Given data: A committee of 9 students.

Q: 1. In how many ways can 8 members of Board of Directors be chosen from 5 juniors and 7 seniors if…

A: Let us suppose there are three marbles viz. a red, a green and a blue. From these, there are three…

Q: In how many ways can 5 starting positions on a basketball team be filled with 8 men who can play any…

A: GivenNo.of Men(n)=8No.of positions(r)=5

Q: How many ways can a committee of 4 be selected from a club with 10 members?

A: No of ways to select a committee of 4 from 10 members is =? We can select in 10C4 ways.   nCr= n! /…