(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 Permutation and Combination 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

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

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Permutation and Combination

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

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MediumAP EAMCET 2025

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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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