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Out of six consonants and three vowels,how many words can be made so

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Manager
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Joined: 08 Sep 2010
Posts: 199
Location: India
WE 1: 6 Year, Telecom(GSM)
Out of six consonants and three vowels,how many words can be made so [#permalink]

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New post Updated on: 28 Oct 2010, 00:59
7
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

57% (01:16) correct 43% (01:22) wrong based on 60 sessions

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Out of six consonants and three vowels,how many words can be made so that each word contains two consonants and three vowels.

A. 1800
B. 15
C. 18
D. 1600
E. 24

Originally posted by ankitranjan on 26 Oct 2010, 21:02.
Last edited by ankitranjan on 28 Oct 2010, 00:59, edited 1 time in total.
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Joined: 11 Sep 2010
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Re: Out of six consonants and three vowels,how many words can be made so [#permalink]

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New post 26 Oct 2010, 23:02
6C2 x 3C3 x 5! = 1800

answer is (A) 1800
Manager
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Re: Out of six consonants and three vowels,how many words can be made so [#permalink]

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New post 30 Jul 2017, 12:04
aarthic wrote:
6C2 x 3C3 x 5! = 1800

answer is (A) 1800

or
4! * 1 * 5! = 24 * 120 = 2880
Am i missing something? How did you get 1800?
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Joined: 21 Sep 2016
Posts: 29
Re: Out of six consonants and three vowels,how many words can be made so [#permalink]

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New post 12 Aug 2017, 23:58
cbh wrote:
aarthic wrote:
6C2 x 3C3 x 5! = 1800

answer is (A) 1800

or
4! * 1 * 5! = 24 * 120 = 2880
Am i missing something? How did you get 1800?


We're choosing 2 consonants out of a group of 6, so it is irrelevant if we get (B,C) or (C,B). The same applies for the vowels.
After picking the five letters up, and since the new words aren't required to have a meaning, we can mix them up through 5!.
Re: Out of six consonants and three vowels,how many words can be made so   [#permalink] 12 Aug 2017, 23:58
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