How many words of 4 consonants and 3 vowels can be made from 12 consonants and 4 vowels, if all the letters are differen…

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

10 students are to be seated in two rows equally for the Mock test in a room. There are two sets of papers, Code A and C…

In a certain laboratory, chemicals are identified by a colour-coding system. There are 20 different chemicals. Each one …

A box contains 2 white, 3 black and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least 1 black…

In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?

After every get-together every person present shakes the hand of every other person. If there were 105 handshakes in all…

A team of 8 students goes on an excursion, in two cars, of which one can seat 5 and the other only 4. In how many ways c…