how many arrangements are there of the letters COMMITTEE where none of the vowels are next to eachother? Thank you!
CMMTT OIEE
ignore the vowels, the consonents can go in 5!/(2!2!) = 2*3*5 = 30 ways to place the consonants
# C # M # M # T # T # 6 hashes that is where the vowels can go 6P4/(2!) = 180 ways
30*180 = 5400 ways (I think)
thanks!
