SOLUTION: as amedical officer, you are required to select five persons from agroup of 7 men and 6 women, to form a committee so that at least 3 men are there on the committee. in how many wa

Algebra ->  Permutations -> SOLUTION: as amedical officer, you are required to select five persons from agroup of 7 men and 6 women, to form a committee so that at least 3 men are there on the committee. in how many wa      Log On


   

Question 1013048: as amedical officer, you are required to select five persons from agroup of 7 men and 6 women, to form a committee so that at least 3 men are there on the committee. in how many ways can it be done
Answer by ikleyn(52777) About Me  (Show Source):
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as a medical officer, you are required to select five persons from a group of 7 men and 6 women, to form a committee so that at least 3 men are there on the committee. in how many ways can it be done?
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C%5B7%5D%5E1 + C%5B7%5D%5E2 + C%5B7%5D%5E3  = 7 + %287%2A6%29%2F2 + %287%2A6%2A5%29%2F%281%2A2%2A3%29 = 7 + 21 + 35 = 63 ways.


Symbol C%5Bn%5D%5Em is the number of combinations of n objects taken m at a time.

See the lesson Introduction to Combinations in this site.