Carly has 3 movies that she can watch during the weekend: 1 Action movie, 1 Comedy, and 1 Drama. However, she needs to watch the Drama 3 times. Assuming Carly has time for 5 movies and intends to watch all of them, in how many ways can she do so?
6
20
24
60
120
OA is[spoiler] B
[/spoiler]
Permutation
This topic has expert replies
-
- Master | Next Rank: 500 Posts
- Posts: 165
- Joined: Wed May 28, 2008 11:25 pm
- Thanked: 9 times
- GMAT Score:730
Look upon it from the Action (A) and Comedy (C) perspective. Imagine there are 5 time slots - "A" can take any one of the 5 slots, and "C" can take any of the remaining 4 slots. D occupies the remaining 3 slots and order does not matter. Hence the answer is 5 * 4 ?
-
- Legendary Member
- Posts: 891
- Joined: Sat Aug 16, 2008 4:21 am
- Thanked: 27 times
- Followed by:1 members
- GMAT Score:660(
she has 5 positions to put A, B and C
C must be repeated 3 times
so we have ABCCC
total combinations - 5!
C is repeted 3 times, so we should divide 5! by 3!
Because ABC1C2C3 is the same as ABC2C1C3
5!/3!= 20
B
C must be repeated 3 times
so we have ABCCC
total combinations - 5!
C is repeted 3 times, so we should divide 5! by 3!
Because ABC1C2C3 is the same as ABC2C1C3
5!/3!= 20
B