How many 3-digit numbers are there,with no di | vedclass

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Question

(A) To form a $3$-digit number without repeating any digits,we have positions: Hundreds,Tens,and Units.$1$. The Hundreds place can be filled by any di

Vedclass · Accepted Answer

$648$

Vedclass · Answer

(A) To form a $3$-digit number without repeating any digits,we have positions: Hundreds,Tens,and Units.$1$. The Hundreds place can be filled by any digit from ${1, 2, 3, 4, 5, 6, 7, 8, 9}$. Thus,there are $9$ choices.$2$. The Tens place can be filled by any of the remaining $9$ digits (including $0$ and excluding the digit used in the Hundreds place). Thus,there are $9$ choices.$3$. The Units place can be filled by any of the remaining $8$ digits. Thus,there are $8$ choices.Total number of $3$-digit numbers $= 9 	imes 9 	imes 8 = 648$.

How many $3$-digit numbers are there,with no digits repeated?

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