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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?

Answer 1

Ethan Adkins

#100#

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#

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Answer 2

Eva Adamson

The number of numbers lying between 100 and 1000 that can be formed with the digits 0, 1, 2, 3, 4, 5 without repetition is 5 * 6 * 5 = 150.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.