On how many ways can the letters of the word "COMPUTER" be arranged
1.) Without any restrictions?
2.) Vowels occupy the even positions
permutations again
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1) no restrictions- 8!
2) vowels occupy even position
4 even positions
3 vowels
5 consonants
3 vowels in 4 even positions- 4C3*3!
5 consonants in 5 places- 5!
4!*5!
2) vowels occupy even position
4 even positions
3 vowels
5 consonants
3 vowels in 4 even positions- 4C3*3!
5 consonants in 5 places- 5!
4!*5!
The powers of two are bloody impolite!!
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