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 1190429: 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 greenestamps(13198) About Me  (Show Source):
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Choose 4 of the 12 people to be in one group; the number of ways you can do that is "12 choose 4":

C%2812%2C4%29=%2812%2A11%2A10%2A9%29%2F%284%2A3%2A2%2A1%29=495

The remaining 8 people are the other group; there is no choosing left to be done.

ANSWER: b) 495