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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\'manpreet singh
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Explanation:'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 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
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3 senior members can be selected in 12C3 = (12 x 11 x 10)/3! = 2 x 11 x 10 = 220 ways.'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?
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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