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'Question The number of words of 3 consonants and 2 vowels can be made from 6 consonants and 4 vowels, if all the letters are different is: 25200 None of these 42000 14400' 

          'Question
The number of words of 3 consonants and 2 vowels can be made from 6 consonants and 4 vowels, if all the letters are different is:
25200
None of these
42000
14400'

Added by Diane W.

Probability with Applications in Engineering, Science, and Technology
Probability with Applications in Engineering, Science, and Technology
Matthew A. Carlton • Jay L. Devore 2nd Edition
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'Question The number of words of 3 consonants and 2 vowels can be made from 6 consonants and 4 vowels, if all the letters are different is: 25200 None of these 42000 14400'
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Transcript

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00:01 In this problem, we are given that there are six consonants and four vowels which are available, and we are required to find out the number of words which can be formed such that it consists of three consonants and two vowels.
00:18 So we see here that three consonants, it can be selected from six consonants in six choose three ways, and similarly two vowels can be selected from four vowels in four choose two ways.
00:30 And if we multiply them, then this would give us the number of ways in which we can select three consonants and two vowels out of six consonants and four bubbles.
00:42 So let's take the number of ways to select as n.
00:46 And if we simplify this, using this formula, we will get this as six factorial by three factorial times three factorial multiplied with four factorial by two factorial times two factorial...
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