Aptitude - Permutation and Combination - Discussion

Discussion Forum : Permutation and Combination - General Questions (Q.No. 8)
8.
In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?
266
5040
11760
86400
None of these
Answer: Option
Explanation:
Required number of ways = (8C5 x 10C6)
= (8C3 x 10C4)
= 8 x 7 x 6 x 10 x 9 x 8 x 7
3 x 2 x 1 4 x 3 x 2 x 1
= 11760.
Discussion:
61 comments Page 5 of 7.

Priya said:   10 years ago
When I'm solving it directly like 8C5 and 10C6 means I'm getting wrong answer.

Tejal said:   8 years ago
Don't we have to divide (8C5*10C6) by total no of selection that is 18C11?

Nancy said:   8 years ago
Please help me to understand why the deduction (the second step) is done?

Prakash said:   6 years ago
Kindly anyone tells the difference between permutations and combinations.
(1)

Pankaj kumar said:   7 years ago
The second step involves the formula of nCr,
which is;
nCr = n!/(n-r)!r!.

Sundar said:   1 decade ago
Hi Farjana,

Thanks for your valuable information. Have a nice day!

Rahul said:   7 years ago
I am not getting this answer. Please, anyone, help me to get this.

Deepu2543651 said:   1 decade ago
Why we getting wrong answer while we directly apply nCr formula?

Musa said:   1 decade ago
I don't understand the formula used. Can somebody explain it?

Charan said:   8 years ago
6men and 5 women can also be changed so it can be 11!*11760.


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