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Anonymous
Anonymous asked in Science & MathematicsMathematics · 2 weeks ago

six-digit numbers?

How many different six-digit numbers have 6 distinct digits and contain no zeros? What if the digits don’t have to be distinct, but can contain zeros?

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  • 2 weeks ago
    Favorite Answer

    There are 9 choices for the first digit

    As the digits are distinct, we have 8 choices for the second digit, as we cannot have zero or the digit chosen first

    so, for 6 digits we have: 9 x 8 x 7 x 6 x 4 x 3

    i.e. 9P6 => 60,480 numbers

    If we include zeros and digits don't have to be distinct we now have:

    9 x 10 x 10 x 10 x 10 x 10 => 900,000

    :)>

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  • david
    Lv 7
    2 weeks ago

    How many different six-digit numbers have 6 distinct digits and contain no zeros?

      P(9,6) = 60480

    no beginning 0s .  999,999 is largest possible no.  ===  100,000 is the smallest possible number

       999,999 - 100,000 + 1 = 900,000 possible

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