How many words can be formed by taking 3 consonants and 2 vowels out of 5 consonants and 4 vowels

English

Gujarati

Hindi

6.Permutation and Combination

easy

How many words can be formed by taking $3$ consonants and $2$ vowels out of $5$ consonants and $4$ vowels

A

$^5{C_3} \times {\,^4}{C_2}$

B

$\frac{{^5{C_3} \times {\,^4}{C_2}}}{5}$

C

$^5{C_3} \times {\,^4}{C_3}$

D

${(^5}{C_3} \times {\,^4}{C_2})\,(5)\,!$

Solution

(d) The letters can be select in $^5{C_3}{ \times ^4}{C_2}$ ways.

Therefore the number of arrangements are ${(^5}{C_3}{ \times ^4}{C_2})\,\,5\;!$.

Standard 11

Mathematics

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