Question

In how many ways can 12 basketball players be listed in a program?

A. 12

B. 479,001,600

C. 665,280

D. 1

Answer 1

B. 479001600

Explanation:

We are asked to find the number of ways can 12 basketball players be listed in a program.

We will use permutations to solve our given problem.

There are 12 ways to choose 1st player for the team.

Since 1 player is already chosen, so we can choose 2nd player in 11 ways. Similarly we can choose 3rd player in 10 ways.

`\text{The number of ways 12 basketball players to be listed in a program}=12!`

`12!=12*11*10*9*8*7*6*5*4*3*2*1`

`\text{The number of ways 12 basketball players to be listed in a program}=479001600`

Therefore, in 479001600 ways can be 12 basketball players be listed in a program and option B is the correct choice.

Answer 2

Answer: B. 479,001,600

Explanation:

We know that the number of possible combination objects from a set where order matters is given by using permutations.

Given: The number of basketball players = 12

By using permutations, the number of ways the basketball players can be listed is given by :-

`12!=12*11*10*9*8*7*6*5*4*3*2*1\\\\=479,001,600`