How many words of 4 consonants and 3 vowels c | vedclass

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(B) Step $1$: Select $4$ consonants from $6$ available consonants. The number of ways is $^6C_4 = \frac{6 	imes 5}{2 	imes 1} = 15$.Step $2$: Select

Vedclass · Accepted Answer

$756000$

Vedclass · Answer

(B) Step $1$: Select $4$ consonants from $6$ available consonants. The number of ways is $^6C_4 = \frac{6 	imes 5}{2 	imes 1} = 15$.Step $2$: Select $3$ vowels from $5$ available vowels. The number of ways is $^5C_3 = \frac{5 	imes 4}{2 	imes 1} = 10$.Step $3$: The total number of ways to select the letters is $15 	imes 10 = 150$.Step $4$: These $7$ selected letters can be arranged among themselves in $7!$ ways.$7! = 7 	imes 6 	imes 5 	imes 4 	imes 3 	imes 2 	imes 1 = 5040$.Step $5$: The total number of words that can be formed is $150 	imes 5040 = 756000$.

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

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