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Byju's Answer
Standard XII
Mathematics
Combination of n Different Things Taken One or More at a Time
The sum of th...
Question
The sum of the unit digits of all
5
digit numbers that can be formed using
0
,
1
,
3
,
4
and
6
without repetition, is
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Solution
If we fix any digit except
0
in the unit place, then the other digits can be arranged in
3
×
3
×
2
×
1
=
18
ways
If unit digit is
0
,
then the sum will be
0
.
Hence the required sum will be
18
×
(
1
+
3
+
4
+
6
)
=
252
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