Probabilty

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\'manpreet singh: Master | Next Rank: 500 Posts; Posts: 271; Joined: Tue May 22, 2012 3:22 am; Thanked: 7 times; Followed by:3 members

Probabilty

by \'manpreet singh » Wed Nov 14, 2012 10:23 pm

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Q.1 The I Eta Pi fraternity must choose a delegation of three senior members
and two junior members for an annual interfraternity conference. If I Eta Pi
has 12 senior members and 11 junior members, how many different delegations
are possible?

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Source: Beat The GMAT — Problem Solving | Wed Nov 14, 2012 10:23 pm

FLUID: Senior | Next Rank: 100 Posts; Posts: 39; Joined: Thu Nov 01, 2012 7:52 pm; Thanked: 7 times

by FLUID » Wed Nov 14, 2012 11:24 pm

'manpreet singh wrote:Q.1 The I Eta Pi fraternity must choose a delegation of three senior members
and two junior members for an annual interfraternity conference. If I Eta Pi
has 12 senior members and 11 junior members, how many different delegations
are possible?

Explanation:

3 out of 12 senior members is 12C3

2 out of 11 Junior members is 11C2

Number of different delegations possible are 12C3 * 11C2 = 12100

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8086; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

by Scott@TargetTestPrep » Sat Jul 06, 2019 4:49 pm

'manpreet singh wrote:Q.1 The I Eta Pi fraternity must choose a delegation of three senior members
and two junior members for an annual interfraternity conference. If I Eta Pi
has 12 senior members and 11 junior members, how many different delegations
are possible?

3 senior members can be selected in 12C3 = (12 x 11 x 10)/3! = 2 x 11 x 10 = 220 ways.

2 junior members can be selected in 11C2 = (11 x10)/2! =55 ways.

Thus, the delegation can be selected in 220 x 55 = 12,100 ways.

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