How many numbers lying between 99 and 1000 ca | vedclass

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(A) Numbers lying between $99$ and $1000$ are $3$-digit numbers.We have $6$ available digits: $\{0, 2, 3, 6, 7, 8\}$.For a $3$-digit number,the hundre

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$100$

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(A) Numbers lying between $99$ and $1000$ are $3$-digit numbers.We have $6$ available digits: $\{0, 2, 3, 6, 7, 8\}$.For a $3$-digit number,the hundreds place cannot be $0$.Therefore,the hundreds place can be filled by any of the $5$ digits: $\{2, 3, 6, 7, 8\}$ ($5$ ways).The tens place can be filled by any of the remaining $5$ digits (including $0$) ($5$ ways).The units place can be filled by any of the remaining $4$ digits ($4$ ways).Total numbers = $5 	imes 5 	imes 4 = 100$.

How many numbers lying between $99$ and $1000$ can be formed using the digits $2, 3, 7, 0, 8, 6$ if each digit is used only once in each number?

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