The sum of the digits in the unit place of al | vedclass

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(C) To find the sum of the digits in the unit place of all numbers formed using the digits $3, 4, 5, 6$ taken all at a time:$1$. The total number of p

Vedclass · Accepted Answer

$108$

Vedclass · Answer

(C) To find the sum of the digits in the unit place of all numbers formed using the digits $3, 4, 5, 6$ taken all at a time:$1$. The total number of permutations of $4$ distinct digits taken all at a time is $4! = 24$.$2$. If we fix one digit (e.g.,$3$) in the unit place,the remaining $3$ digits can be arranged in the other $3$ positions in $3! = 6$ ways.$3$. This means each digit $(3, 4, 5, 6)$ appears in the unit place exactly $6$ times.$4$. The sum of the digits in the unit place is $6 	imes (3 + 4 + 5 + 6) = 6 	imes 18 = 108$.

The sum of the digits in the unit place of all numbers formed with the help of $3, 4, 5, 6$ taken all at a time is

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