How many 3-digit even number can be made using the digits

Download now India's Best Exam Prepration App Class 8-9-10, JEE & NEET
Video Lectures	Live Sessions
Study Material	Tests
Previous Year Paper	Revision

Video Lectures

Live Sessions

Study Material

Tests

Previous Year Paper

Revision

Question:
How many 3-digit even number can be made using the digits 1, 2, 3, 4, 5, 6, 7, if no digits is repeated?

Solution:

In order to find the number of even digits, we fix the unit's digit as an even digit.

Fixing the unit's digit as 2:

Number of arrangements possible = 6P2 = 6 $\times "> \times$ 5 = 30

Similarly, fixing the unit's digit as 4:

Number of arrangements possible = 6P2 = 6 $\times "> \times$ 5 = 30

Fixing the unit's digit as 6:

Number of arrangements possible = 6P2 = 6 $\times "> \times$ 5 = 30

∴ Number of 3-digit even numbers that can be formed = 30 + 30 + 30 = 90