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The First person can be chosen in 8 ways, the second person in 6 ways (the first persons sibling cannot be selected) and the third person in 4 waysrahul.s wrote:If there are four distinct pairs of brothers and sisters, then in how many ways can a committee of 3 be formed and NOT have siblings in it?
A) 8
B) 24
C) 32
D) 56
E) 192
I know it seems like a simple problem, but I opted for E, and the OA is C.
i got the part up to 192. but why do we divide it by 3!?ajith wrote:The First person can be chosen in 8 ways, the second person in 6 ways (the first persons sibling cannot be selected) and the third person in 4 waysrahul.s wrote:If there are four distinct pairs of brothers and sisters, then in how many ways can a committee of 3 be formed and NOT have siblings in it?
A) 8
B) 24
C) 32
D) 56
E) 192
I know it seems like a simple problem, but I opted for E, and the OA is C.
Total no of ways = 8*6*4 = 192. These include all the arrangement but we need only combination. So, to get the no of combination we have divide the arrangements by 3!
The committee can be formed in = 192/6 = 32 ways
rahul.s wrote:i got the part up to 192. but why do we divide it by 3!?ajith wrote:The First person can be chosen in 8 ways, the second person in 6 ways (the first persons sibling cannot be selected) and the third person in 4 waysrahul.s wrote:If there are four distinct pairs of brothers and sisters, then in how many ways can a committee of 3 be formed and NOT have siblings in it?
A) 8
B) 24
C) 32
D) 56
E) 192
I know it seems like a simple problem, but I opted for E, and the OA is C.
Total no of ways = 8*6*4 = 192. These include all the arrangement but we need only combination. So, to get the no of combination we have divide the arrangements by 3!
The committee can be formed in = 192/6 = 32 ways
rahul.s wrote:If there are four distinct pairs of brothers and sisters, then in how many ways can a committee of 3 be formed and NOT have siblings in it?
A) 8
B) 24
C) 32
D) 56
E) 192
I know it seems like a simple problem, but I opted for E, and the OA is C.
A brother and sister form a FAMILY.rahul.s wrote:If there are four distinct pairs of brothers and sisters, then in how many ways can a committee of 3 be formed and NOT have siblings in it?
A) 8
B) 24
C) 32
D) 56
E) 192
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