**
100
**
and
**
1000
**
can be formed with the digits 0, 1, 2, 3, 4, 5, if the repetition of the digits is not allowed?

The answer is 100.

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All the numbers lying between

100and1000are three digit numbers.So out of thesixnumbers provided we could fill the hundred's place byfivenumbers(bcz if zero occupies hundred's place, the number become two digit).Likewise, ten's place can be filled by

fivenumbers(which doesn't include the number assigned to hundred's place as repetition is not allowed).And one's place can be filled with

fournumbers(which doesn't include the number s assigned to hundred's and ten's place as repetition is not allowed)So total possible numbers that can be formed = $5 \times 5\times 4$ =

100