Question

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

Answer 1

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Answer 2

Answer:

99 possible numbers can be made.

Step-by-step explanation:

In the question,

We need to make the numbers in between 100 and 1000 by using the digits 0, 1, 2, 3, 4, 5.

So,

Total possible numbers which can be made is given by,

5 digits for 1st place (0 is not possible).

5 digits for 2nd place (as repetition is not allowed).

and,

4 digits for 3rd place.

So,

There are total 5 x 5 x 4 = 100 such numbers.

Of which 100 is also included.

Therefore, 99 such numbers are possible between 100 and 1000.