In how many ways can the letters of the word MATHEMATICS be arranged so that all the vowels always come together?

In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come t…

In how many different ways can the letters of the word AUCTION be arranged in such a way that the vowels always come tog…

From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there …

In how many different ways can the letters of the word SOFTWARE be arranged in such a way that the vowels always come to…

The number of ways which a mixed double tennis game can be arranged amongst 9 married couples if no husband and wife pla…

In how many different ways can the letters of the word DAILY be arranged?

In how many ways can 3 men and their wives be made stand in a line such that none of the 3 men stand in a position that …