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From 6 programmers and 4 typists, an office wants to recruit 5 people. What is the number of ways this can be done so as to recruit at least one typist ?A. 209B. 210C. 246D. 242

Answer» Correct Answer - C
Number of ways `.^(4)C_(1) .^(6)C_(4) + .^(4)C_(2) .^(6)C_(3) + .^(4)C_(3) .^(6)C_(2) + .^(4)C_(4) .^(6)C_(1)`
`= (4) (15) + (6) (20) + (4) (15) + (1) (6)`
`= 60 + 120 + 60 + 6 = 246`


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