Answer to Question #14490 in Statistics and Probability for denil
As we have 3
letters 'S' and 2 letters 'C', then we should use
the formula for multinomial
N = 7! / (3! * 2!) = 420.
Now let's count the variants
that satisfy the problem:
where * means 'C', 'U' or 'E'.
Using the same
principle, now we calculate the number of
all permutations of "UCCE"
n = 4! / 2! = 12.
Finally, the probability that all S come
P = 5 * n / N = 5 * 12 / 420 = 1 / 7.
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