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QJEEM22Ma3549: JEE Main 2022 Mathematics - Class 11 JEEM22Ma3549 Solution: Numbers are to be formed between 1000 and 3000 , which are…

Numbers are to be formed between 1000 and 3000 , which are divisible by 4 , using the digits 1,2,3,4,5 and 6 without repetition of digits. Then the total number of such numbers is ____________.

Step-by-Step Verified Solution

Here 1st digit is 1 or 2 only

Case-I

If first digit is 1

Then last two digits can be 24, 32, 36, 52, 56, 64

JEE Main 2022 (Online) 26th July Evening Shift Mathematics - Permutations and Combinations Question 86 English Explanation 1
Case – II

If first digit is 2 then last two digit can be 16, 36, 56, 64

JEE Main 2022 (Online) 26th July Evening Shift Mathematics - Permutations and Combinations Question 86 English Explanation 2
Total ways = 12 + 18 = 30 ways

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