3. Suppose 1500 runners are in a race. How many ways could the runners finish in 1*, 2nd and 3rd place?

Q: In how many ways can first, second, and third prizes be awarded in a contest with 875 contestants?…

A: Given information- We have given that in a contest 875 contestants participated. We have to give…

Q: how many ways can the 30 members of a company club select a president, a vice president, and a…

A: From the given information we find the solution.

Q: There are 12 women running in a race. How many different ways   could first, second and third prize…

A: The first winner can occur in 12 ways, the second winner can occur in (12-1)=11 ways, the third…

Q: In how many ways can a student choose to do 7 questions out of 8 on a test?

A:

Q: In how many ways can 10 people be seated in 10 adjacent seats in a theater?

A: Given: In how many ways can 10 people be seated in 10 adjacent seats in a theater. We need to…

Q: In how many ways can a committee of 2 be chosen from 7 people?

A:

Q: A person tossed a coin 8 times. In how many ways can he get 5 tails?

A: Given information- We have given that a person tossed a coin 8 times. We have to find the number of…

Q: If 15 people start a race, in how many different ways can the top 3 finishers be determined?

A: Permutation:   It  is an arrangement of objects in a definite order where the order is important.…

Q: 6. The University of Montana ski team has 15 entrants in a men's downhill ski event. The coach would…

A: 6) The number of entrants in men’s downhill ski event is 15.

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: 5. Twenty athletes enter an Olympic event. How many different possibilities are there for winning…

A: Consider that we have to find out the probability of the athletes winning the gold medal, silver…

Q: how many ways can first second and third prizes be awarded in a contest with 530 contestants?

A: To determine the number of ways to award first, second, and third prizes in a contest with 530…

Q: How many possible ways can the top 5 finishers come in during a race with 24 racers? Each place…

A: This is a permutation problem.   Out of the 24, there will be 5 racers in the top 5.

Q: 2. Suppose there is a race between 9 friends. How many ways can the race be completed if John is…

A: Here use concept of total arrangement

Q: In how many ways can 5 sets of numbers be picked from 50 numbers in a lottery?

A: From the provided information, Total numbers in a lottery = 50 The required number of ways of…

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 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…