How many 2-digit numbers are there with disti | vedclass

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(D) $2$-digit number consists of a tens place and a units place.For the tens place,the possible digits are ${1, 2, 3, 4, 5, 6, 7, 8, 9}$. Thus,there a

Vedclass · Accepted Answer

$81$

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(D) $2$-digit number consists of a tens place and a units place.For the tens place,the possible digits are ${1, 2, 3, 4, 5, 6, 7, 8, 9}$. Thus,there are $9$ choices for the tens place.For the units place,the digit can be any digit from ${0, 1, 2, 3, 4, 5, 6, 7, 8, 9}$,but it must be distinct from the digit chosen for the tens place.Since one digit is already used in the tens place,there are $10 - 1 = 9$ choices remaining for the units place.Therefore,the total number of $2$-digit numbers with distinct digits is $9 	imes 9 = 81$.

How many $2$-digit numbers are there with distinct digits?

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