Find the numbers of arrangements of the letters of the word INDEPENDENCE. In how many of these arrangements. Do the words start with P? Do all the vowels never occur together? Do all the vowels always occur together? Do the words begin with I and end in P?

Find the number of arrangements of the letters of the INDEPENDENCE. In how many of these arrangements, (i) do the words start with P (ii) do all the vowels always occur together (iii) do the vowels never occur together (iv) do the words begin with I and end in P?

Find the number of arrangements of the letters of the word MADHUBANI . In how many of these arrangements (i) Do the words starts with B ? (ii) Do the vowels occur together? (iii) Do you words begin with D and end in H ?

Find the number of arrangements of the letters of the word SALOON, if the two Os do not come together.

Find the number of arrangements of the letters of the word SALOON, if the two O’s do not come together.

Find the number of arrangements of the letters of the word ' BANANA' in which the two N' do not appear adjacently.

Find the number of words formed by permuting all letters of the word INDIA. In how many of them vowels are together ?

The number of arrangement s of the letter of the word PAPAYA in which the two 'P' do not appear adjacently is

Find the probability that in a random arrangement of the letters of the word SOCIAL vowel come together.

Find the number of different words that can be formed from the letters of the word TRIANGLE so that no vowels are together.

Find the number of different words that can be formed from the letters of the word TRIANGLE so that no vowels are together.