If there are 20 boys, how many different basketball teams could be formed? there are 5 boys needed in each team. 

A    12546 

B    15504 

C    15326 

D    13524 

Solution

Correct Answer: Option B

  here  n = 20 and r = 5  , so we can calculate it now by putting the value . 

   \(^{20}{C_{5\;}} = \frac{{20!}}{{5!\left( {20 - 5} \right)!}} = \frac{{20 \times 19 \times 18 \times 17 \times 16 \times 15!}}{{5! \times 15!}} = \frac{{20 \times 19 \times 18 \times 17 \times 16}}{{120}} = 15504\)  

Practice More Questions on Our App!

Download our app for free and access thousands of MCQ questions with detailed solutions