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How many different groups of three distinct letters are possible if th

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Joined: 02 Sep 2009
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How many different groups of three distinct letters are possible if th [#permalink]

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New post 26 Apr 2017, 07:41
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How many different groups of three distinct letters are possible if the three letters are chosen from the letters A, B, C, D, and E and A must be one of the letters selected?

A. 60
B. 10
C. 6
D. 4
E. 3
[Reveal] Spoiler: OA

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Joined: 09 Jan 2016
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GPA: 3.4
WE: General Management (Human Resources)
Re: How many different groups of three distinct letters are possible if th [#permalink]

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New post 26 Apr 2017, 09:44
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[quote="Bunuel"]How many different groups of three distinct letters are possible if the three letters are chosen from the letters A, B, C, D, and E and A must be one of the letters selected?

A. 60
B. 10
C. 6
D. 4
E. 3[/quote
5c3= 10 we need to find out that A has to be included in the three group, and find how three group can be found out without the A.
4c3= 4 .
thus 10-4 equals 6.
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Joined: 18 Jun 2017
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Re: How many different groups of three distinct letters are possible if th [#permalink]

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New post 02 Aug 2017, 02:22
Each group must have letter A and any two from the options BCDE.
Hence we should have 4C2 ways i.e. groups.
Option C.
Re: How many different groups of three distinct letters are possible if th   [#permalink] 02 Aug 2017, 02:22
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