Out of 7 consonants and 4 vowels, the number | vedclass

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(C) The number of ways to select $3$ consonants from $7$ is given by ${}^{7}C_{3} = \frac{7 	imes 6 	imes 5}{3 	imes 2 	imes 1} = 35$ ways.The num

Vedclass · Accepted Answer

$25200$

Vedclass · Answer

(C) The number of ways to select $3$ consonants from $7$ is given by ${}^{7}C_{3} = \frac{7 	imes 6 	imes 5}{3 	imes 2 	imes 1} = 35$ ways.The number of ways to select $2$ vowels from $4$ is given by ${}^{4}C_{2} = \frac{4 	imes 3}{2 	imes 1} = 6$ ways.The total number of ways to select the $5$ letters is $35 	imes 6 = 210$ ways.Since these $5$ selected letters can be arranged among themselves in $5!$ ways, the total number of words is $210 	imes 5! = 210 	imes 120 = 25200$.

Out of $7$ consonants and $4$ vowels, the number of words (not necessarily meaningful) that can be made, each consisting of $3$ consonants and $2$ vowels, is

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