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CBSE Class 11-science Answered

There are three groups of men in a company having 4, 5 and 6 members respectively. Two men have to be selected from the same group as President and Vice-President of a committee to be formed. Find the number of ways in which such a selection can be made.
Asked by Topperlearning User | 13 Nov, 2015, 05:08: PM
answered-by-expert Expert Answer

Let G1, G2, G3 denote the three groups.

Two men as President and Vice-President can be selected from G1 in 43 = 12 ways.

The same selection can be made from G2 in 5  4 = 20 ways and from G3 in 6  5 = 30 ways.
Since these selections are mutually disjoint, by fundamental principle of addition, the total number of ways the selection can be made is 12 + 20 + 30 = 62.

Answered by | 13 Nov, 2015, 07:08: PM

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