If there are 20 boys, how many different basketball teams could be formed? there are 5 boys needed in each team.
Correct Answer: Option B
here n = 20 and r = 5 , so we can calculate it now by putting the value .
\(^{20}{C_{5\;}} = \frac{{20!}}{{5!\left( {20 - 5} \right)!}} = \frac{{20 \times 19 \times 18 \times 17 \times 16 \times 15!}}{{5! \times 15!}} = \frac{{20 \times 19 \times 18 \times 17 \times 16}}{{120}} = 15504\)
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