How many 4-digit odd numbers can be formed us | vedclass

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(D) To form a $4$-digit odd number,the unit's place must be filled by an odd digit. The available odd digits are $1, 3, 5, 7$. So,the unit's place can

Vedclass · Accepted Answer

$720$

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(D) To form a $4$-digit odd number,the unit's place must be filled by an odd digit. The available odd digits are $1, 3, 5, 7$. So,the unit's place can be filled in $4$ ways.The thousands place cannot be $0$,so it can be filled by any of the digits ${1, 2, 3, 5, 7}$,which gives $5$ ways.The hundreds place can be filled by any of the $6$ digits ${0, 1, 2, 3, 5, 7}$ in $6$ ways.The tens place can also be filled by any of the $6$ digits in $6$ ways.Total number of $4$-digit odd numbers $= 5 	imes 6 	imes 6 	imes 4 = 720$.

How many $4$-digit odd numbers can be formed using the digits $0, 1, 2, 3, 5, 7$ if repetition of digits is allowed?

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