Aptitude - Permutation and Combination - Discussion

Discussion Forum : Permutation and Combination - General Questions (Q.No. 11)
11.
In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?
63
90
126
45
135
Answer: Option
Explanation:

Required number of ways = (7C5 x 3C2) = (7C2 x 3C1) = 7 x 6 x 3 = 63.
2 x 1

Discussion:
51 comments Page 3 of 6.

Jat said:   1 decade ago
(7C5 x 3C2) = (7C2 x 3C1)
This step i can't understand.
Please explain me.

Manasa said:   1 decade ago
@jat
its just formula
n =n
c c
r n-r
n=7,r=5
7C5=7C2

SHIVAM SHUKLA said:   10 years ago
I didn't understand this problem. Please each and every step explain it.

Anoushka said:   9 years ago
Sir I haven't understood why have we multiplied 3 with 7*6/2*1 *3.

Nirmal said:   1 decade ago
(7C2 x 3C1) = 7 x 6 x 3

How it happened explain please?

ACHUTHARAJ said:   1 decade ago
Basic formula nCr = nCn-r
so 7C7-5 = 7C2
3C3-2 = 3C1

Harish julai said:   10 years ago
Hello @Sravani.

If n>r, then ncr becomes nc(n-r).

Pooja said:   1 decade ago
I understood that thanks! we have to use nCr=nCn-r.

Vishesh said:   1 decade ago
Same here what is this c? I don't understand this.

Sam said:   9 years ago
Why we are taking as 7c2 * 3c1? Please explain it.


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