Question

Find the number of different words that can be formed from the letters of the word ‘TRIANGLE’, so that (i) all vowels occur together. (ii) all vowels do not occur together

Answer 1

Answer:

There are 3 vowels and 5 consonants in the word triangle. The only constraint is to not put two vowels adjacent to each other. So, place the 5 consonants side by side. They will form 6 gaps (4 between them and two at the extremes).

Step-by-step explanation:

Permutations. The number of ways you can change the order of a set of things is called the number of PERMUTATIONS of that set of things. Each different letter arrangement is called a permutation of the word "WHO". There are 24 ways to order the letters in "STOP".