(C) To find the sum of the digits in the unit place,we fix one digit at the unit place.If we fix $3$ at the unit place,the remaining $3$ digits $(4, 5

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(C) To find the sum of the digits in the unit place,we fix one digit at the unit place.If we fix $3$ at the unit place,the remaining $3$ digits $(4, 5, 6)$ can be arranged in the remaining $3$ positions in $3! = 6$ ways.Similarly,if we fix $4, 5,$ or $6$ at the unit place,each will appear in the unit place $3! = 6$ times.The sum of the digits in the unit place is $6 \times (3 + 4 + 5 + 6) = 6 \times 18 = 108$.

Class 11 Mathematics Permutations and Combinations Definition of permutation, Number of permutations with or without repetition, Conditional permutations

Easy

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

A
$18$
B
$432$
C
$108$
D
$144$

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Permutations and Combinations

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Definition of permutation, Number of permutations with or without repetition, Conditional permutations

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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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