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