# How many numbers can be formed using the digits 0, 1, 2, 3, 4, 5 without repetition so that resulting numbers are between 100 and 1000? - Mathematics and Statistics

Sum

How many numbers can be formed using the digits 0, 1, 2, 3, 4, 5 without repetition so that resulting numbers are between 100 and 1000?

#### Solution

A number between 100 and 1000 that can be formed from the digits 0, 1, 2, 3, 4, 5 is of 3 digits and repetition of digits is not allowed.

∴ 100’s place can be filled in 5 ways as it is a non-zero number which

10’s place digits can be filled in 5 ways.

Unit’s place digit can be filled in 4 ways.

∴ total number of ways the number can be formed

= 5 × 5 × 4

= 100

∴ 100 numbers between 100 and 1000 can be formed.

Concept: Concept of Permutations - Permutations When Repetitions Are Allowed
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#### APPEARS IN

Balbharati Mathematics and Statistics 2 (Arts and Science) 11th Standard Maharashtra State Board
Chapter 3 Permutations and Combination
Exercise 3.3 | Q 11 | Page 55