hi, im currently student in vietnam
i have 2 permutation questions
1. how many words consisitng of 3 vowel and 2 consonants can be formed from the letters of the word "columbians"
2. a presidnet secretry and treasurer are to be named from 5 men and 3 women
how many permutations are there if one man and one women must be picked
heres how much i have done
1) you have 4 vowels and 6 consonants and 10 letters total
you need a 5 letter permutation
so you have 4 x 3 x 2 x 6 x 5
but if you do this, will you always have the order in 3 vowels and 2 consonants? what do i multiply this by to mix it up?
keep in mind my total permutations without limits is 10!/5!
2) so i do the same thing as above, i know 5 men, 3 women and a total of 8 ppl
5 x 3 x 6
but wont the man always be president? again, how do i mix this up??
sorry if my english not very good