The sum of the digits in unit place of all the numbers formed with the help of 3, 4, 5 and 6 taken all at a time is
The sum of the digits in unit place of all the numbers formed with the help of 3, 4, 5 and 6 taken all at a time is
(A) 432
(B) 108
(C) 36
(D) 18
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Answer is (B)
If the unit place is ‘3’ then remaining three places can be filled in 3! ways.
Thus ‘3’ appears in unit place in 3! times.
Similarly each digit appear in unit place 3! times.
So, sum of digits in unit place = 3!(3 + 4 + 5 + 6) = 18 x 6 = 108
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B. 108
Explanation:
The sum of the digits in unit place of all the numbers formed with the help of 3, 4, 5 and 6 taken all at a time =(3+4+5+6)3! =108
Hence, Option (B) 108 is the correct answer.
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