algebra

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How many 5 digit number greater than 24000 can be formed if repetition of digit is allow.

  • algebra -

    three digits can be 0 to 9 or ten things taken 3 at a time

    one digit can be 4 to 0 or seven things
    one at a time

    the fifth, on the left, can be 2 - 9 or 8 things

    permutations of 10 things taken 3 at a time = 10!/(10!-3!) = 10*9*8
    then 7!/6! = 7
    then 8!/7! = 8
    so
    10*9*8*7*8 - 1 because 24000 itself is excluded.

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