Find how many arrangements can be made with the letters of the word ‘MATHEMATICS’ ? In how many of them : vowels do not occur together ?

Find how many arrangements can be made with the letters of the word ‘MATHEMATICS’ ? In how many of them : vowels occur together?

Find how many arrangements can be made with the letters of the word ‘MATHEMATICS’ ? In how many of them : consonants occur together ?

How many words can be formed with the letters o the word MATHEMATICS by rearranging them.

Find the number of arrangements, which can be made from the letters of the word : MATHEMATICS.

How many 3-letter words can be made using the letters of the word ‘ORIENTAL’ ?

How many permutations can be made out of the letters of the word 'TRIANGLE ' ?

Find the number of arrangements, which can be made from the letters of the word : ALGEBRA.

Find the number of arrangements of the letters of the word ‘INDEPENDENCE’. In how many of these arrangements, do the vowels never occur together ?