28. A select group of 4 is to be formed from 8 men and
6 women in such a way that the group must have
at least 1 woman. In how many different ways can
it be done?
(Bank P.O., 2005)
(a) 364
(b) 728
(c) 931
(d) 1001
(e) None of these
ons are
Answers
Answered by
0
Answer:
The combination are,
8C0*8C4 + 8C1*8C3 + 8C2*8C2 + 8C3*8C1
= 1*70 + 8*56 + 28*28 + 56*8
= 70 + 448 + 784 + 448
= 1750
Answered by
0
Step-by-step explanation:
The total number of people is 8+6 = 14
An easy way to calculate the number of ways of selecting atleast one woman is to calculate the opposite of it.
The total number of ways of selecting 4 people from a total of 14 is
14
C
4
=
1001
The number of ways of selecting a group of all men (and no women) is
8
C
4
=
70
Hence, the number of ways of selecting 4 people such that atleast one of them is a woman is
1001
−
70
=
931
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