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# There are 7 senior students and 9 junior students in... 3

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Senior Manager
Joined: 07 Nov 2004
Posts: 459
Followers: 2

Kudos [?]: 20 [0], given: 0

There are 7 senior students and 9 junior students in... 3 [#permalink]  06 Jan 2005, 15:20
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
There are 7 senior students and 9 junior students in... 3 students are to be selected to compose a committee. Among the 3 students, at least one is senior and one is junior. How many such committees are possible?
VP
Joined: 18 Nov 2004
Posts: 1442
Followers: 2

Kudos [?]: 20 [0], given: 0

441 ways

2 scenarios

1) 1 jr + 2 sr = 9x7C2 = 189

2) 1sr + 2 jr = 7x9C2 = 36x7 = 252

Total = 441
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