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The sum of the digits in the unit place ...

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

432

B

108

C

36

D

18

Text Solution

Verified by Experts

The correct Answer is:
B
If we fixed 3 at units place.
Total possible number is `3"!"` i.e., 6.
Sum of the digits in unit place of all these numbers `=3"!" xx 3`
Similarly, if we fixed 4, 5 and 6 at units place, in each case total possible numbers are `3"!"`.
Required sum of unit digits of all such numbers `= (3 + 4+ 5 + 6) xx 3"!"`
`= 18 xx 3"!" = 18 xx 6 = 108`
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