Ten different letters of alphabet are given, words with 5 letters are formed from these given letters. Then, the number …

There are eight boxes of chocolates, each box containing distinct number of chocolates from 1 to 8. In how many ways fou…

A box contains 10 balls out of which 3 are red and rest are blue. In how many ways can a random sample of 6 balls be dra…

There are 20 couples in a party. Every person greets every person except his or her spouse. People of the same sex shake…

In how many ways can 15 people be seated around two round tables with seating capacities of 7 and 8 people?

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

How many 4-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetiti…

How many different words can be formed using all the letters of the word ALLAHABAD?</br> (a) When vowels occupy th…