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Jasper is to select a committee of 4 individuals from am

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Jasper is to select a committee of 4 individuals from am [#permalink] New post 19 Aug 2017, 08:15
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61% (01:04) correct 38% (01:04) wrong based on 83 sessions
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Re: Jasper is to select a committee of 4 individuals from am [#permalink] New post 25 Sep 2017, 05:21
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If we divide the task into stages we have that
- there are 5 ways to choose the President (5C1)
- there are 4 ways to choose the Vice (4C1)
- there are 3 ways to choose the two Treasurers (3C2)
Multiplying those numbers we get the total number of ways to form this committee 5*4*3=60
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Re: Jasper is to select a committee of 4 individuals from am [#permalink] New post 20 Feb 2018, 12:46
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Since we have to choose four persons from a group of five people, the first position for president can be covered in 5C1=5 ways, from the remaining four people we can choose vice president in 4C1=4 ways and the rest people will be elected in 3C2=3 ways.
So the committee can be formed in 5*4*3=60 ways.
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Re: Jasper is to select a committee of 4 individuals from am [#permalink] New post 08 Jul 2018, 06:05
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Cannot answer this since John select not Jasper :))
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Re: Jasper is to select a committee of 4 individuals from am [#permalink] New post 10 Jul 2018, 02:16
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We will choose people for each position in turn.

President:5 -> Vice President:4 -> Treasurers:3C2

-> Total = 5*4*3=60.
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Re: Jasper is to select a committee of 4 individuals from am [#permalink] New post 17 Apr 2019, 01:24
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Since president and vice president are two unique positions, order matters when we select people for these positions. So 5 choices for the president post when a president has been selected we have 4 people for vice president post. which gives us 5*4 permutations are president and vice presidents. Now 3 people remain. of these 3 two will be selected for the treasury post. Since two people will have the same designation of treasury order does not matter. So we can select 2 treasuries our of three in 3 ways 3*2/2. Now the total combinations of presidents, vice presidents and treasuries =5*4*3=60
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Re: Jasper is to select a committee of 4 individuals from am [#permalink] New post 18 Sep 2019, 06:56
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In this case ORDER MATTERS (Being picked as president is not equal to be picked as vice president, and so on), hence we have to use the permutation of 4 people out of 5.

5P4.

However, the two treasurers have equal importance as being selected as the first treasurer do not give you more importance than being the second treasurer.
Thus we remove this repetition:

5P4/2C1 = 5*4*3 = 60
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Re: Jasper is to select a committee of 4 individuals from am [#permalink] New post 06 May 2020, 01:31
tuankhanh21 wrote:
Cannot answer this since John select not Jasper :))

Suddenly this becomes a verbal reasoning question.
Re: Jasper is to select a committee of 4 individuals from am   [#permalink] 06 May 2020, 01:31
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Jasper is to select a committee of 4 individuals from am

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