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Number of All Four Digit Numbers Having Different Digits Formed of the Digits 1, 2, 3, 4 and 5 and Divisible by 4 Is,24,30,125,100 - Mathematics

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MCQ

Number of all four digit numbers having different digits formed of the digits 1, 2, 3, 4 and 5 and divisible by 4 is

Options

  • 24

  • 30

  • 125

  • 100

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Solution

24
In order to make a number divisible by 4, its last two digits must be divisible by 4, which in this case can be 12, 24, 32 or 52.
Since repetition of digits is not allowed, the remaining first two digits can be arranged in 3 x 2 ways in each case.
∴ Total number of numbers that can be formed = 4 x {3 x 2} = 24

Concept: Permutations
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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 16 Permutations
Q 11 | Page 46

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