How many numbers lying 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?

1 Answer
Apr 18, 2018

100

Explanation:

The number will be a 3 digit number

Let us consider the 3 digits to be 3 boxes squaresquaresquare in which the numbers can be placed.

First box can be filled in 5 ways(1,2,3,4,5)

Second box can be filled in 5 ways(0,or any 4 of (1,2,3,4,5) )

Third box can be filled up in 4 ways( The 4 numbers unused in the first 2 boxes)

Therefore, total number of ways=5*5*4=100