A computer password must consist of exactly 10 characters Wh

A computer password must consist of exactly 10 characters

What is the probability that a password contains exactly 5 lowercase characters and exactly 5 digits?

Solution

Total number of cases = (26+26+10)¹⁰

Probability = ((10C5 * 26⁵) * (10)⁵ ) / (26+26+10)¹⁰ = 0.000356 Answer