SOLUTION: 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?

Question 822969: 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? (1 mark)
b) How many ways are there to form the committee if there must be 2 seniors, 1 junior and 1 sub junior? (2 marks)
c) What is the probability of forming the committee if there must be 2 seniors, 1 junior and one sub junior? (2 marks)
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
a)
12C4
=495
.
b)
6C2*4C1*2C1
=15*4*2
=120
.
c)
120/495
=8/33
.
Ed
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