How many 4digit even number can be formed by using digit 1,2,3,4,5,7,8,9 If repetation not allowed If repetation allowed

CBSE Class 11-science Answered

How many 4digit even number can be formed by using digit 1,2,3,4,5,7,8,9 If repetation not allowed If repetation allowed

Asked by pranshusingh9himalya | 15 Nov, 2022, 01:43: AM

Expert Answer

Case 1: Repetition not allowed

A number is even when its unit's digit is even.

So, we have 3 choices for unit's place.

We have 7 choices for ten's place

6 choices for hundred's place

5 choices for throusand's place

Total number of ways = 3 x 7 x 6 x 5 = 630 ways

Case 2: Repetition allowed

A number is even when its unit's digit is even.

So, we have 3 choices for unit's place.

We have 8 choices for ten's place

8 choices for hundred's place

8 choices for throusand's place

Total number of ways = 3 x 8 x 8 x 8 = 1536 ways

Answered by Renu Varma | 13 Dec, 2022, 15:30: PM

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