# How many 3-digit numbers can be formed by using the digits 1 to 9 if no digit is repeated?

**Solution:**

We have to find the number of 3-digit numbers that can be formed by using the digits 1 to 9 if no digit is repeated.

The given number of digits = 9 (from 1 to 9).

No. of ways of choosing first digit = 9

Since no digit should be repeated,

No. of ways of choosing second digit = 8

No. of ways of choosing to third digit = 7

Using the fundamental principle of counting,

Total possible numbers of ways = 9×8×7 = 504

NCERT Solutions Class 11 Maths Chapter 7 Exercise 7.3 Question 1

## How many 3-digit numbers can be formed by using the digits 1 to 9 if no digit is repeated?

**Summary:**

The number of 3-digit numbers that can be formed by using the digits 1 to 9 if no digit is repeated is 504

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