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In how many ways can coach Lewis select 5 young women for the basketball team if 15 players try out?

User Sambasiva
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1 Answer

13 votes

Given:

Total number of players = 15

Required players = 5

To find:

The number of ways to select 5 young women for the basketball team if 15 players try out?

Solution:

We know that, the total number of ways to select r items from n item is


^nC_r=(n!)/(r!(n-r)!)

The total number of ways to select 5 players from 15 is


^(15)C_5=(15!)/(5!(15-5)!)


^(15)C_5=(15* 14* 13* 12* 11* 10!)/(5* 4* 3* 2* 1* 10!)


^(15)C_5=(15* 14* 13* 12* 11)/(5* 4* 3* 2* 1)


^(15)C_5=3* 7* 13* 11


^(15)C_5=3003

Therefore, coach Lewis can select 5 young women from 15 in 3003 ways.

User Comodoro
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