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 7 of 7.
Sandeep Kumar Mallick said:
8 months ago
@Reena.
Why Internal Arrangements Are Not Considered:
Nature of a Committee:
A committee is typically a group of individuals where order doesn't matter.
For example:
If we select A, B, C, D, E as the 5 men, this is the same as selecting B, A, C, D, E, or any other arrangement of these names. The focus is only on who is in the group, not the sequence.
Focus on Selection, Not Order:
The task is to determine how many ways we can select 5 men and 6 women. Since their roles or hierarchy aren't specified, the internal order of people in the committee is irrelevant.
Combination Formula Used:
This ensures we don’t double-count the same group in different orders.
Key Point: The committee is just a collection of members, so the order in which they are chosen or arranged doesn't matter.
Why Internal Arrangements Are Not Considered:
Nature of a Committee:
A committee is typically a group of individuals where order doesn't matter.
For example:
If we select A, B, C, D, E as the 5 men, this is the same as selecting B, A, C, D, E, or any other arrangement of these names. The focus is only on who is in the group, not the sequence.
Focus on Selection, Not Order:
The task is to determine how many ways we can select 5 men and 6 women. Since their roles or hierarchy aren't specified, the internal order of people in the committee is irrelevant.
Combination Formula Used:
This ensures we don’t double-count the same group in different orders.
Key Point: The committee is just a collection of members, so the order in which they are chosen or arranged doesn't matter.
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