Find the number of distinguishable permutations of the letters m, i, s, s, i, s, s, i, p, p, i.

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**50 POINTS** HELP ASAP A few times a month, Janice described the moon she saw in the sky. Her observations are recorded in the following table below. Date Appe

apocritia apocritia · Answer 1 · 2018-08-23T14:44:57+02:00

Solution:

we have been asked to find the number of distinguishable permutations of the letters m, i, s, s, i, s, s, i, p, p, i.

Here we can see

m appears 1 time.

i appears 4 times.

S appears 4 times.

p appears 2 times.

Total number of letters are 11.

we will divide the permutation of total number of letters by the permutation of the number of each kind of letters.

The number of distinguishable permutations[tex] =\frac{11!}{1!2!4!4!} \\ [/tex]

Hence the number of distinguishable permutations[tex] =\frac{11!}{1!2!4!4!}=34650 \\ [/tex]