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An eight digit number is formed from 1, ...

An eight digit number is formed from `1, 2, 3, 4` such that product of all digits is always `3072,` the total number of ways is `(23. 8C_k),` where the value of k is

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Knowledge Check

  • A nine - digit number is formed using the digits 1, 2, 3, 5 and 7. The probability that the product of all digits is always 1920 is

    A
    `(1)/(5^(9))`
    B
    `(7)/(5^(8))`
    C
    `(72)/(5^(9))`
    D
    `(1)/(7!)`

  • How many different eight digit numbers can be formed using only four digits 1, 2, 3, 4 such that the digit 2 occurs twice?

    A
    a. 2412
    B
    b. 120
    C
    c. 672
    D
    d. none of these

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

    A
    122
    B
    210
    C
    216
    D
    217