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The number of all five digit numbers which are divisible by 4

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Solving time: 4 mins

The number of all five digit numbers which are divisible by 4 that can be formed from the digits $0, 1, 2, 3, 4$ (without repetition) is

Name: Video solution 1: The number of all five digit numbers which are divisible by 4 that can be formed from the digits 0,1,2,3,4 (without repetition) is
Uploaded: 2022-09-18T11:52:26.000Z
Duration: 4 min
Description: Video solution 1: The number of all five digit numbers which are divisible by 4 that can be formed from the digits 0,1,2,3,4 (without repetition) is

None of these

Views: 5,757 students

Updated on: Sep 18, 2022

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The number of all five digit numbers which are divisible by 4 that can be formed from the digits

0, 1, 2, 3, 4

(without repetition) is

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Text solutionVerified

The numbers formed will be divisible by 4 if the number formed by the two digits on the extreme right is divisible by 4 ,
i.e. it should be

04, 12, 20, 24, 32, 40

The number of numbers ending in

04 = 3! = 6

,
The number of numbers ending in

12 = 3! - 2! = 4

The number of numbers ending in

20 = 3! = 6

,
The number of numbers ending in

24 = 3! - 2! = 4

The number of numbers ending in

32 = 3! - 2! = 4

The number of numbers ending in

40 = 3

= 6

So, the required number

= 6 + 4 + 6 + 4 + 4 +

6 = 30

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Question Text	The number of all five digit numbers which are divisible by 4 that can be formed from the digits $0, 1, 2, 3, 4$ (without repetition) is
Updated On	Sep 18, 2022
Topic	Permutations and Combinations
Subject	Mathematics
Class	Class 11
Answer Type	Text solution:1 Video solution: 1
Upvotes	225
Avg. Video Duration	4 min

The number of all five digit numbers which are divisible by 4 that can be formed from the digits $0, 1, 2, 3, 4$ (without repetition) is

Text solutionVerified

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The number of all five digit numbers which are divisible by 4 that can be formed from the digits 0,1,2,3,4 (without repetition) is

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