# Math

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What is the probability that a number chosen at random from the range 1,000,000,000 to 9,999,999,999 inclusive will contain ten different digits? Round your answer to the nearest millionth

• Math -

The number of ways the 10 distinct digits can form distinct numbers is given by
10!.
So the probability is 10! divided by the number of possible outcomes.

• Math -

The first digit on the right can be any number from 0 to 9 so ten choices
1/10 so far
the second digit (tens place) can be one of 9
1/10 * 1/9
the third can be one of 8 remaining
1/10 * 1/9 * 1/8
etc
get the picture?

• Math -

So after i do all that should i get one whole number

• Math -

No, you will not get a whole number
a probability is a number between 0 and 1
1/10! which is about .00000027

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