Question 896334: At a Fiji police force meeting, there are 6 seniors, 4 juniors, and 2 sub junior officers. A committee of 4 is to be formed?
a) How many ways are there to form the committee?
b) How many ways are there to form the committee if there must be 2 seniors, 1 junior and 1 sub junior?
c) What is the probability of forming the committee if there must be 2 seniors, 1 junior and one sub junior?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! At a Fiji police force meeting, there are 6 seniors, 4 juniors, and 2 sub junior officers. A committee of 4 is to be formed?
a) How many ways are there to form the committee?:: 12C4 = 495 ways
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b) How many ways are there to form the committee if there must be 2 seniors, 1 junior and 1 sub junior?:: 6C2 *4C1 *2C1 = 15*4*2 = 120 ways
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Cheers,
Stan H.
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