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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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प्रश्न

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

पर्याय

  • 24

  • 30

  • 125

  • 100

MCQ

उत्तर

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

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पाठ 16: Permutations - Exercise 16.7 [पृष्ठ ४६]

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आरडी शर्मा Mathematics [English] Class 11
पाठ 16 Permutations
Exercise 16.7 | Q 11 | पृष्ठ ४६

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