Question:
Total number of words formed by $2$ vowels and $3$ consonants taken from $4$ vowels and $5$ consonants is equal to
Total number of words formed by $2$ vowels and $3$ consonants taken from $4$ vowels and $5$ consonants is equal to
Updated On: Jul 7, 2022
- $60$
- $120$
- $7200$
- $720$
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The Correct Option is C
Solution and Explanation
Given $4$ vowels and $5$ consonants
$\therefore$ Total number of words
$=\,^ {4}C_{2} \times\, {5}C_{3} \times \, 5! $
$= 7200$
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Notes on Permutations
Concepts Used:
Permutations
A permutation is an arrangement of multiple objects in a particular order taken a few or all at a time. The formula for permutation is as follows:
\(^nP_r = \frac{n!}{(n-r)!}\)
nPr = permutation
n = total number of objects
r = number of objects selected
Types of Permutation
- Permutation of n different things where repeating is not allowed
- Permutation of n different things where repeating is allowed
- Permutation of similar kinds or duplicate objects