Practice Questions Permutations & Combinations
1.Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?
2.In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together?
i am not good at it.
but i think this should work for the first one.
there are 5 vowels namely 3 Os , 1 A and 1 i,
taking them as a letter we get 7 letters.
we can arrange them in 5!/(3!) * 7!/(2!)ways.
notice there are 3 Os and 2 Rs.