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 3 of 7.
Decom said:
1 decade ago
Does this assume that the men/women can be in any order or have to be allocated a position in the group. I felt this was a little ambiguous.
Vishesh bakshi said:
1 decade ago
Am always confused whether to multiply or add in between this two cases. How to determine it correctly can any one help me out on this?
Tsherin said:
5 years ago
@Sayali and @Diwakar.
We know the formula for Combination:
nCr= n!/(n-r)!r! as mentioned.
But why we aren't using r? Please explain.
We know the formula for Combination:
nCr= n!/(n-r)!r! as mentioned.
But why we aren't using r? Please explain.
(1)
Nagarajan said:
1 decade ago
May anyone exlplain why that conversion is required,
nCr = nC(n-r).
but I know it is the formula..
Please explain conceptually.
nCr = nC(n-r).
but I know it is the formula..
Please explain conceptually.
Mohan said:
6 years ago
8C5 = (8*7*6*5*4)/(5*4*3*2*1).
= (8*7*6)/(3*2*1).
= 8C3.
10C6 = (10*9*8*7*6*5)/(6*5*4*3*2*1).
= (10*9*8*7)/(4*3*2*1),
= 10C4.
= (8*7*6)/(3*2*1).
= 8C3.
10C6 = (10*9*8*7*6*5)/(6*5*4*3*2*1).
= (10*9*8*7)/(4*3*2*1),
= 10C4.
(5)
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.
Reena said:
1 year ago
When considering the committee, why aren't we considering the mixture inside the committee as well inside 5 +6 = 11 persons?
(2)
Nishat Parwez said:
1 decade ago
The correct formula for the mentioned question is n!/r!( n-r)!..
This makes the concept clear. Totally agree with @Diwakar.
This makes the concept clear. Totally agree with @Diwakar.
Flair said:
1 decade ago
In this question don't give importance to arrangements. Like ABC=ACB=BAC they are same. Take this example with person.
Karthika said:
10 years ago
Why we are applying the ncr=n-r formula in the second step?
What is the purpose of using where we should we use this?
What is the purpose of using where we should we use this?
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