How many 3-digit even numbers can be formed from the digits 1, 2, 3, 4, 5, 6 if the digits can be repeated?

Solution:

For the number to be even the last digit must be 2, 4, or 6.
No. of ways of choosing first digit = 6
No. of ways of choosing second digit = 6
No. of ways of choosing the third digit = 3
By fundamental counting principle,
Therefore, total possible number of ways =6×6×3=108

NCERT Solutions Class 11 Maths Chapter 7 Exercise 7.1 Question 2

How many 3-digit even numbers can be formed from the digits 1, 2, 3, 4, 5, 6 if the digits can be repeated?

Summary:

The total number of 3 digit numbers, that can be formed from the digits 1, 2, 3, 4, 5, 6 if the digits can be repeated is 108