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 _________.
Answer (integer)
6
Solution
<b>Case-I</b><br/><br/> When number is 4-digit number $(\overline{a b c d})$ here $d$ is fixed as 5
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So, $(a, b, c)$ can be $(6,4,3),(3,4,6),(2,3,6)$, $(6,3,2),(3,2,4)$ or $(4,2,3)$
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$\Rightarrow 6$ numbers
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<b>Case-II</b><br/><br/> No number possible
About this question
Subject: Mathematics · Chapter: Permutations and Combinations · Topic: Fundamental Counting Principle
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