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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

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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

विकल्प

  • 24

  • 30

  • 125

  • 100

MCQ
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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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अध्याय 16: Permutations - Exercise 16.7 [पृष्ठ ४६]

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आर.डी. शर्मा Mathematics [English] Class 11
अध्याय 16 Permutations
Exercise 16.7 | Q 11 | पृष्ठ ४६

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