How many words of 4 consonants and 3 vowels can be formed from 6 consonants and 5 vowels

English

Gujarati

Hindi

6.Permutation and Combination

easy

How many words of $4$ consonants and $3$ vowels can be formed from $6$ consonants and $5$ vowels

A

$75000$

B

$756000$

C

$75600$

D

None of these

Solution

(b) Required number of words ${ = ^6}{C_4}{ \times ^5}{C_3} \times 7\,!\; = 756000$

{Selection can be made in $^6{C_4}{ \times ^5}{C_3}$ while the $7$ letters can be arranged in $7\;!$}.

Standard 11

Mathematics

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