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Standard XII
Mathematics
Combination of n Different Things Taken One or More at a Time
The number of...
Question
The number of natural numbers from 1000 to 9999 (both inclusive) that do not have all 4 different digits are?
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Solution
Total number of numbers from
1000
to
9999
is
9999
−
1000
+
1
=
9000
Numbers that have all four different digits
=
9
×
9
×
8
×
7
=
4536
Hence the number of numbers that do not have, all
4
different digits
=
9000
−
4536
=
4464
.
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