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?

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Quantrex Academy · Accepted Answer

Correct answer: C. 246

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 aligned & =(4)(15)+(6)(20)+(4)(15)+(1)(6) & =60+120+60+6 & =246 aligned

From 6 programmers and 4 typists, an office wants to recruit 5...

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