Is the answer 20%?
Consider anthony n Micheal to be one group. Now to form a subcomittee, you can choose any one of the 4 ppl - 4C1=4.
The number of ways to split into group of 3 is 6C3=20.
Therefore probability that Anthony n Micheal are together is 4/20=1/5=20%.
permutations
This topic has expert replies
Source: Beat The GMAT — Problem Solving |
-
anantbhatia
- Senior | Next Rank: 100 Posts
- Posts: 98
- Joined: Sat Feb 06, 2010 11:56 pm
- Thanked: 5 times
- sirisha.g
- Senior | Next Rank: 100 Posts
- Posts: 85
- Joined: Thu Jul 15, 2010 7:50 pm
- Thanked: 1 times
- GMAT Score:690
yep!.it's 20% according to meanantbhatia wrote:Is the answer 20%?
Consider anthony n Micheal to be one group. Now to form a subcomittee, you can choose any one of the 4 ppl - 4C1=4.
The number of ways to split into group of 3 is 6C3=20.
Therefore probability that Anthony n Micheal are together is 4/20=1/5=20%.
-
diebeatsthegmat
- Legendary Member
- Posts: 1119
- Joined: Fri May 07, 2010 8:50 am
- Thanked: 29 times
- Followed by:3 members
i would love to solve this by this way
select 3 people in 6 people in which A and M are also in group of 3 poeple
we will have 4 combination
now select 3 people in 6 people in which or A or M or no one in the group
suppsed A and M are the same people we will have 5!/2!3!=10 then 10*2 =20 ( because there are 2 times to do this for both A and M)
thus 4/20=0.2 or 20%
- TheCloakedMonk
- Junior | Next Rank: 30 Posts
- Posts: 17
- Joined: Thu Jul 01, 2010 1:00 pm
- Location: Houston
- Thanked: 1 times
The Answer is 40%.
If Micheal must be on one subcommittee, then there are two spots still open (out of five left) for Anthony to sit in, in order for Anthony and Micheal to be on the same committee. Therefore, there the percent that include Anthony is 2/5 = 40%.
If Micheal must be on one subcommittee, then there are two spots still open (out of five left) for Anthony to sit in, in order for Anthony and Micheal to be on the same committee. Therefore, there the percent that include Anthony is 2/5 = 40%.
Anything is possible if you believe in yourself and have faith in your actions.
-
anantbhatia
- Senior | Next Rank: 100 Posts
- Posts: 98
- Joined: Sat Feb 06, 2010 11:56 pm
- Thanked: 5 times













