How many numbers can be made with the digits 3, 4, 5, 6, 7, 8 lyin | Filo
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Class 11

Math

Algebra

Permutations and Combinations

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How many numbers can be made with the digits lying between and , which are divisible by while repetition of any digit is not allowed in any number?

Correct Answer: Option(b)
Solution: The 4-digit number formed using the digits and is divisible by , hence it should end in . Therefore the unit place digit is always
Since the number lie between and , the thousands place digit has to be ,
Now, the middle 2 digits van be chose from the remaining 4 digits (namely and ) in ways.
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