SOLUTION: In how many ways can 12 people be divided into two groups if one group has 8 people and the other has 4? A)40,320 B)495 C)60 D)1,485 E)11,880

Algebra ->  Permutations -> SOLUTION: In how many ways can 12 people be divided into two groups if one group has 8 people and the other has 4? A)40,320 B)495 C)60 D)1,485 E)11,880      Log On


   



Question 1189618: In how many ways can 12 people be divided into two groups if one group has 8 people and the other has 4?
A)40,320 B)495 C)60 D)1,485 E)11,880

Answer by ikleyn(52777) About Me  (Show Source):
You can put this solution on YOUR website!
.

In  C%5B12%5D%5E4 = %2812%2A11%2A10%2A9%29%2F%281%2A2%2A3%2A4%29 = 495 different ways.

Solved.

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Notice that if one group of 4 is selected, then the other group of 8 is just formed automatically: they are the remaining 8 persons.