Question

in how many ways can a team 16 be chosen out of a batch of 20 players ​

Answer 1

In 4845 ways can a team 16 be chosen out of a batch of 20 players.

Given data :

A team 16 be chosen out of a batch of 20 players.

To find : The number of ways can a team 16 be chosen out of a batch of 20 players.

Formula used :

$n_{C_{r}}=n_{C_{(n-r)}}$

Here,          

n = 20

r = 16

Applying the formula, we get

$20_{C_{16}}=20_{C_{(20-16)}}$

$20_{C_{16}}=20_{C_{4}}$

$20_{C_{4}}=\frac{20\times19\times18\times17}{4\times3\times2\times1}$

       $=\frac{116280}{24}$        

$20_{C_{4}}$ = 4845.

Hence, the number of ways is 4845.

To learn more...

1. In how many ways can a cricket team of eleven be chosen out of a batch of 15 players if a particular player is always chosen?

brainly.in/question/12955

2. What is the difference between a permutation and a combination.

brainly.in/question/531923                      

Answer 2

Answer:

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