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

A. 12

B. 479,001,600

C. 665,280

D. 1

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Respuesta :

JeanaShupp JeanaShupp · Answer 1 · 2019-03-26T15:42:00+01:00

Answer: B. 479,001,600

Step-by-step 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 :-

[tex]12!=12\times11\times10\times9\times8\times7\times6\times5\times4\times3\times2\times1\\\\=479,001,600[/tex]

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ApusApus ApusApus · Answer 2 · 2019-04-06T08:44:46+02:00

Answer:

B. 479001600

Step-by-step 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.

[tex]\text{The number of ways 12 basketball players to be listed in a program}=12![/tex]

[tex]12!=12*11*10*9*8*7*6*5*4*3*2*1[/tex]

[tex]\text{The number of ways 12 basketball players to be listed in a program}=479001600[/tex]

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