Number of arrangements of the letters of the word ENGINEER so that all vowels are together but all Es are not together is

Find the number of arrangements of the letters of the word PARAL.LEL so that all Ls do not come together but all As come together.

If N_(1) is the number of arrangements of the letters of the word 'EQUATION' in which all vowels are together and N_(2) is the number of arrangements of the letters of the word 'PERMUTATION' in which vowels are in alphabetical order, then (4N_(2))/(7N_(1))=

The number of arrangements that can be formed by taking all the letters of the word ENGINEERING so that all Ns come together and Es not come together is

The number of arrangements that can be formed by taking all the letters of the word ENGINEERING so that all Ns come together and E's not come together is

Find the number of ways of arranging the letters of the word ORGANIC so that all vowels come together

Find the number of different 8 -letter arrangements that can be made from the letters of the word DAUGHTER so that (i) all vowels occur together (ii) all vowels do not occur together.

Find the number of different 8-letter arrangements that can be made from the letters of the word DAUGHTER so that(i) all vowels occur together (ii) all vowels do not occur together.

The number of arrangements that can be formed by taking all the letters of the word ENGINEERING so that all Es come together is

Find the number of ways of permuting the letters of the word PICTURE so that all vowels come together

Number of words that can be formed with the letters of the word ALGEBRA so that all the vowels are seperated (or no two vowals come together) is