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19 February, 12:32

Using the set {1,3,6,7,8,9} how many odd numbers can we construct between 100-999, if no element may be used more than once in a number

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  1. 19 February, 15:45
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    Odd numbers end with 1 or 3 or 5 or 7 or 9

    alrighty, the last number can be 1 or 3 or 7 or 9 (we aren't given 5 in the set)

    4 choices for the last number

    for the other 2 numbers, we can use any other numbers

    6 numbers in the set

    6 choices for the first digit

    5 for the 2nd

    4 for the 3rd digit

    so there are 6*5*4 or 120 different odd numbers that can be constructed withthe given numbers in the set
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