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14. Out of 6 engineers and 4 doctors, how many groups of 4 professionals can be formed such that at least 1 engineer is always there?A. 129B. 109C. 229D. 209​

Answer»

-step explanation:(D)Explanation: There are four cases:4 engineers = 6C4 = 153 engineers and 1 doctor = 6C3*4C1 = 20*4 = 802 engineers and 2 DOCTORS = 6C2*4C2 = 15*6 = 901 ENGINEER and 3 doctors = 6C1*4C3 = 24Therefore, total number of WAYS = 15 + 80 + 90 + 24 = 209.



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