In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?

In how many ways can the letters of the word 'LEADER' be arranged?

A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?

In how many different ways can the letters of the word 'DETAIL' be arranged in such a way that the vowels occupy only the odd positions?

How many 4-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed?

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 on the committee. In how many ways can it be done?

In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together?

Three of the following four are alike in a certain way and so form a group. Which is the one that does not belong to that group?

In the following question, three of the following four are alike in a certain way and so form a group. Which is the one that does not belong to that group? 

In the following question, three of the following four are alike in a certain way, and so form a group. Which is the one that does not belong to that group?