SOLUTION: How many different 15 persons committees can be formed each containing at least 2 Accountants and at least 3 Managers from a set of 10 accountants and 12 Managers.

Question 424811: How many different 15 persons committees can be formed each containing at least 2 Accountants and at least 3 Managers from a set of 10 accountants and 12 Managers.
Answer by sudhanshu_kmr(1152) (Show Source): You can put this solution on YOUR website!
here no need to worry about condition of at least 2 Accountants and at least 3 Managers...

because from a total of 22 persons we can't select 15 persons such that it don't satisfy the above condition.

in each group of 15 persons, there will be surely at least 3 Accountants and at least 5 managers.

no. of ways to select 15 persons out of 22 = 22C15
= 170544

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