The probability that every digit is different
[tex] \frac{10}{7} [/tex]
given that
here take the combination of 8 digits.
The first step is to choose a digit at random (from 0 to 9 include, 0 could be the first digit)
This process is repeated seven more times.
so, the total possible outcomes be 7.
the number of favourable outcomes that every digit is different be 10 .
then
[tex]probability = \frac{number \: of \: favourable \: outcomes}{total \: outcomes} [/tex]
[tex]probability = \frac{10}{7} [/tex]
so ,the probability that every digit is different is 10/7
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