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#