The english language is comprised of 44 phonemes The average

The english language is comprised of 44 phonemes. The average length of an english word is between three and five phonemes. How many possible permutations of phonemes are there?

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Solution

From 44 possible phonemes we have to permute either 3 or 4 or 5 phonemes.

Hence the number of permutations = 44³+44⁴+44⁵ = 168749504