If there are 13 letters typed, the probability that no letters will be repeated can be found to be 1.05 x 10⁻²⁰
<h3>How to find the probability no letters are repeated?</h3>
First, find the number of possibilities of 13 letters from 26 letters in the alphabet as:
= 26 x 26 x 26 x 26 x 26 x 26 x 26 x 26 x 26 x 26 x 26 x 26 x 26
= 6.156 x 10³⁶ possibilities
If the numbers are not to be repeated then the possibilities are:
= 26 x 25 x 24 x 23 x 22 x 21 x 20 x 19 x 18 x 17 x 16 x 15 x 14
= 64764752532480000 possibilities
The probability that no letters are repeated is:
= 64764752532480000 / 6.156 x 10³⁶
= 0.0000000000000000000105
= 1.05 x 10⁻²⁰
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