The number of permutations of alphabets of the word ''ENSHRINE'' in which no two alike alphabets are are together is equal to

The number of permutations of the alphabets of the word ''GOOGLE'' in which O's are together but G's are separated, is

The number of permutations of the alphabets of the word ''GOOGLE'' in which O's are together but G's are separated, is

The number of permutations of the letters of the word 'CONSEQUENCE' in which all the three Es are together is

The number of permutations of the letters of the word ENGINEERING in which neither two E's nor two G's comes together is

The number of permutations of the word AUROBIND in which vowels appear in an alphabetical order is (8!)/(k!) then k is

Find the number of permutations of the letters of the word 'COLLEGE' taken all together.

The number of permutations of the letters of the word IPROPORTION' taken 4 at a time so that 3 are alike and one is different is

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 permutations that can be made out of the letters of the word ENTRANCE so that the two 'N' are always together is