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QJEEM22Mab65e: JEE Main 2022 Mathematics - Class 11 JEEM22Mab65e Solution: The number of natural numbers lying between 1012 and 23421 that …

The number of natural numbers lying between 1012 and 23421 that can be formed using the digits 2,3,4,5,6 (repetition of digits is not allowed) and divisible by 55 is _________.

Step-by-Step Verified Solution

Case-I

When number is 4-digit number (abcd‾)(\overline{a b c d}) here dd is fixed as 5

So, (a,b,c)(a, b, c) can be (6,4,3),(3,4,6),(2,3,6)(6,4,3),(3,4,6),(2,3,6) , (6,3,2),(3,2,4)(6,3,2),(3,2,4) or (4,2,3)(4,2,3)

⇒6\Rightarrow 6 numbers

Case-II

No number possible

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