How many five-digit numbers can be formed usi | vedclass

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(A) The given digits are $2, 0, 4, 3, 8$. There are $5$ distinct digits.$A$ five-digit number cannot have $0$ in the ten-thousands place.Total permuta

Vedclass · Accepted Answer

$96$

Vedclass · Answer

(A) The given digits are $2, 0, 4, 3, 8$. There are $5$ distinct digits.$A$ five-digit number cannot have $0$ in the ten-thousands place.Total permutations of $5$ digits taken all at a time is $5! = 120$.Permutations where $0$ is in the ten-thousands place (fixing $0$ at the first position,we arrange the remaining $4$ digits in the remaining $4$ places) is $4! = 24$.Therefore,the number of five-digit numbers that can be formed is $5! - 4! = 120 - 24 = 96$.

How many five-digit numbers can be formed using the digits $2, 0, 4, 3, 8$ if repetition of digits is not allowed?

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