How many different 2-digit numbers can be for | vedclass

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Question

(B) To form a $2$-digit number,we need to fill two positions: the tens place and the units place.The first position (tens place) can be filled by any

Vedclass · Accepted Answer

$30$

Vedclass · Answer

(B) To form a $2$-digit number,we need to fill two positions: the tens place and the units place.The first position (tens place) can be filled by any of the $6$ given digits $(1, 2, 3, 4, 5, 6)$. Thus,there are $6$ ways to fill the first position.Since repetition is not allowed,the second position (units place) can be filled by any of the remaining $5$ digits. Thus,there are $5$ ways to fill the second position.By the fundamental principle of counting,the total number of ways to form a $2$-digit number is $6 	imes 5 = 30$.

How many different $2$-digit numbers can be formed using the digits $1, 2, 3, 4, 5, 6$,if no digit is repeated?

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