Aptitude - Permutation and Combination - Discussion

Discussion Forum : Permutation and Combination - General Questions (Q.No. 1)
1.
From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?
564
645
735
756
None of these
Answer: Option
Explanation:

We may have (3 men and 2 women) or (4 men and 1 woman) or (5 men only).

Required number of ways = (7C3 x 6C2) + (7C4 x 6C1) + (7C5)
= 7 x 6 x 5 x 6 x 5 + (7C3 x 6C1) + (7C2)
3 x 2 x 1 2 x 1
= 525 + 7 x 6 x 5 x 6 + 7 x 6
3 x 2 x 1 2 x 1
= (525 + 210 + 21)
= 756.

Discussion:
137 comments Page 9 of 14.

Ankit said:   1 decade ago
Friends, please tell me how to identify whether question is of permutation or combination?

Pandu said:   1 decade ago
@Priyanka das.

7C2 has taken since in the last case we need to take 5 men so that you may be understood, its actually 7c5 when in nCr if n value is more than half of n value we need to use formula as nC(n-r)so implies n=7, r=5 since r is more than half of n we used as 7C(7-5) it becomes 7C2. OK I HOPE you got it.

D.Yogapriya said:   1 decade ago
Is there any other simple way to solve this 1st problem?

Ashok said:   1 decade ago
Please give a correct explanation to combination and permutation?

VATSAL KHANDELWAL said:   1 decade ago
Dear @Akash,

You mustn't try these if you don't even know the meaning of "c".

Else what I can say is that.

"c" simply means "combination".

But you can't understand if you haven't read the chapter.

Akash said:   1 decade ago
Can anyone please explain what does C imply here?

Deus Simon said:   1 decade ago
The questions influencable but you did not talk about the of an event to occur.

Priyanka Das said:   1 decade ago
7C2 means 2 men are selected from 7 men.

Krishan said:   1 decade ago
Anyone could explain why we used 7c2 in second step?

Chithra said:   1 decade ago
Combination is nothing but we are going to select from a particular group. In permutation also we will select from group, after selecting we need to arrange it according to the given condition.

i.e.) Combination -> selection.

Permutation -> selection followed by arrangement.


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