luv4purple luv4purple
  • 17-07-2017
  • Mathematics
contestada

How many subsets of five elements each can be made from a set of seven elements?

42
21
14

Respuesta :

Kalahira
Kalahira Kalahira
  • 26-07-2017
When creating a subset of 5 elements from 7 elements, order should not matter. Therefore, we use the combination formula over the permutation formula. The combination formula given n elements total and r elements used is n! / [r!*(n-r)!]. Substituting 7 for n and 5 for r, we get: 7! / (5!*2!) = 7*6 / 2 = 21 21 subsets can be created
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