rositsaivanova1 rositsaivanova1
  • 24-04-2019
  • Mathematics
contestada

In how many different ways can a committee of 5 people be chosen from a group of 18?





Respuesta :

0915lenora 0915lenora
  • 25-04-2019

Answer:

8568

Step-by-step explanation:

You have to choose 5 out of 18, and the order does not matter. So you're looking for the number of combinations, not permutations.

So you have to find 18C5.

nCr = n!/(n-r)!r!

so 18C5 = 18!/13!5!

              = (18 * 17 * 16 * 15 * 14 * 13!)/ 13!5!

              = 18*17*16*15*14/5*4*3*2*1

              = 8568

Hope it helps :)

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