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?
Answer: Option
Explanation:
| Required number of ways | = (8C5 x 10C6) | |||||||
| = (8C3 x 10C4) | ||||||||
|
||||||||
| = 11760. |
Discussion:
61 comments Page 5 of 7.
Musa said:
1 decade ago
I don't understand the formula used. Can somebody explain it?
Rohini said:
1 decade ago
Why we have to convert nCr = nC (n-r) ?
Sunita said:
1 decade ago
Its for simplicity you can do it by solving first step also.
Priyadarshini said:
1 decade ago
nCr=nC(n-r) is used for simplification purpose.
We can also calculate it directly as nCr.
Answer will be same in both ways.
We can also calculate it directly as nCr.
Answer will be same in both ways.
JOE said:
1 decade ago
Actually the formula for combination is nCr = nC(n-r).
Therefore 8C5 = 8C(8-5) = 8C3.
the answers will come the same , simply it will make the problem easier
If the combination e.g is 11C4 then = 11C(11-4) = 11C7 it will also come the same answers with 11C4...
Therefore 8C5 = 8C(8-5) = 8C3.
the answers will come the same , simply it will make the problem easier
If the combination e.g is 11C4 then = 11C(11-4) = 11C7 it will also come the same answers with 11C4...
Senorita said:
1 decade ago
As per my knowledge d calculation above shows only selection part. Aren't we suppose to calculate the number of ways it can b arranged into? in this case 11! ?
Satya said:
2 decades ago
I'm not getting the second step of solution.
How it became (8C5 x 10C6) to (8C3 x 10C4)?
How it became (8C5 x 10C6) to (8C3 x 10C4)?
Manu said:
1 decade ago
Yes, If you do it with (nCr = nC (n-r) ) then also we are getting the same answer. Please don't get confuse.
RockstR said:
1 decade ago
Why are we not multiplying with 11! ? these 5 men and 6 women can also be arranged within themselves. Right?
Shuhaib said:
1 decade ago
Another method.
In unit place we can fix only one number ie 5. Other place we can selected 6c2. So answer is 6c2*1.
In unit place we can fix only one number ie 5. Other place we can selected 6c2. So answer is 6c2*1.
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