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Breannaaaaa
Breannaaaaa Breannaaaaa
  • 20-05-2016
  • Mathematics
Answered

How many combinations of students can she choose?

How many combinations of students can she choose? class=

Verified Answer :

GreenEyes71
GreenEyes71 GreenEyes71
  • 21-05-2016

Hi,

When chosen, the order of each group of 3 students does not matter, so we use combinations.

\(\Big{\binom{16}{3}}=\dfrac{16!}{3!\cdot(16-13)!}=\dfrac{16\cdot 15\cdot 14\cdot 13!}{1\cdot 2\cdot 3\cdot 13!}=\dfrac{16\cdot 15\cdot 14}{6}=8\cdot 5\cdot 14=560\;combinations.\)

Green eyes.

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