Question

From 6 men and 4 ladies, a committee of 5 is to be formed. In how many ways can this be done, if the committee is to include at least one lady?
A.246
B.340
C.290
D.315

Answer 1

ĀNSWĒR ⏬⏬⏬

A.246

ways :

(1 lady + 4 gents) or (2 ladies + 3 gents) or (3 ladies + 2 gents) or (4 ladies + 1 gents) or (5 ladies + 0 gents).

Total number of possible arrangements,
(4C1 * 6C4)+(4C2 * 6C3)+(4C3*6C2)+(4C4 *6C1).
=> 60 +120 +60 +6 = 246.


THANKS ✌✌✌✌