Latest TCS Aptitude Question SOLUTION: A basketball team has 11 players on its roster. Only 5 players can be on the court at one time. How many different groups of 5 players can the team put on the floor?

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A basketball team has 11 players on its roster. Only 5 players can be on the court at one time. How many different groups of 5 players can the team put on the floor?

Asked In TCS Garima (11 years ago)

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chaitanya  (11 years ago)

The task is only to select a group of 5, not to order them. Hence, this is a combination problem. There are11 players; repetition is not possible among them (one player cannot be counted more than once); and theyare not given the same identity. Hence, there are no indistinguishable objects. Using Formula 3, groups of 5can be chosen from 11 players in 11C5 ways.

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Vignesh  (11 years ago)

462 combinations.

c(11,5)= 11*10*9*8*7/1*2*3*4*5 = 462

Is this solution Helpfull? Yes (2) | No (1)  

Vignesh  (11 years ago)

@Chaitanya,

Definition is correct. But didn't conclude the answer??

Answer is 462 combinations.

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Vignesh  (11 years ago)

462 combinations.

c(11,2)= 11*10*9*8*7/1*2*3*4*5 = 462

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