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A five-digit number is formed by the dig...

A five-digit number is formed by the digit 1, 2, 3, 4, 5 without repetition. Find the probability that the number formed is divisible by 4.

Text Solution

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The correct Answer is:
`1/5`
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A five digit number is formed by the digits 1,2,3,4,5 without repetition.Find the probability that the number formed is divisible by 4.

Statement-1: A 5-digit number divisible by 3 is to be formed using the digits 0,1,2,3,4,5 without repetition, then the total number of ways this can be done is 216. Statement-2: A number is divisible by 3, if sum of its digits is divisible by 3.

Knowledge Check

  • If a four digit number is formed by using the digits 1,2,3 and 5 with no repetition, then the probability that the number is divisible by 5 is :

    A
    (1/2)
    B
    (1/3)
    C
    (3/4)
    D
    (1/4)

  • Nine digit numbers are formed using 1, 2, 3, ..., 9 without repetition. The probability that the number is divisible by 4 is :

    A
    `2//7`
    B
    `3//8`
    C
    `1//9`
    D
    `2//9`

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    A five-digit number divisible by 3 is to be formed using the numbers 0, 1, 2, 3, 4 und 5 without repetition. The total number of ways this can be done is

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    How many 3-digit numbers can be formed from the digits 1, 2, 3, 4 and 5 assuming that repetition of the digits is allowed ?

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