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# 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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- Wayne DeguManLv 72 weeks agoFavorite 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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- davidLv 72 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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