Combinatorics › Permutations and arrangements › Arrangements of letters

Arranging letters of COMPUTE

High school · ●●●○○ 50 pts

How many ways are there to arrange the letters of the word COMPUTE so that the vowels are in alphabetical order, or the consonants are in alphabetical order, or at least two vowels are next to each other?

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permutationsinclusion-exclusioncounting with restrictionscombinations