How many numbers of five digits can be formed | vedclass

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(C) To form a five-digit number,the first digit (ten-thousands place) cannot be $0$.There are $5$ choices for the first digit: ${1, 2, 3, 5, 6}$.For t

Vedclass · Accepted Answer

$600$

Vedclass · Answer

(C) To form a five-digit number,the first digit (ten-thousands place) cannot be $0$.There are $5$ choices for the first digit: ${1, 2, 3, 5, 6}$.For the remaining $4$ positions,we have $5$ digits available (including $0$ and the remaining $4$ digits from the set).The number of ways to fill the remaining $4$ positions is $P(5, 4) = 5 	imes 4 	imes 3 	imes 2 = 120$.Total numbers $= 5 	imes 120 = 600$.

How many numbers of five digits can be formed with the digits $0, 1, 2, 3, 5$ and $6$?

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