Permutations an...

Five balls of different colours are to be placed in three boxes of different sizes. Each box can hold all five balls. In how many ways can we place the balls so that no box remains empty ?

In how may ways can a committee be formed of 5 members from 6 men and 4 women if the committee has at least one woman ?

There are 10 persons named A,B,......,J.We have the capacity to accommodate only 5. In how many ways can we arrange them in a line if A is must and G and H must not be included in the team of 5 ?

The letters of the word COCHIN are permutated and all the permutations are arranged in an alphabetical order as in an English dictionary.The number of words that appear before the word COCHIN is

The total number of different combinations of one or more letters which can be made the letters of the word \'MISSISSIPPI\' is

There were two participating in a chess tournament . Every participant played two games with the other participants. The number of games that the men played between themselves proved to exceed by 66 the number of games that the men played with the women. The number of participants is

A dictionary is printed consisting of 7 lettered words only that can be made with a letter of the word CRICKET. If the words are printed at the alphabetical order, as in an ordinary dictionary , then the number of word before the word CRICKET is

There are (n + 1) white and (n + 1) black balls each set numbered 1 to n + 1. The number of ways in which the balls can be arranged in a row so that the adjacent balls are of different colours is

How many numbers between 5000 and 10,000 can be formed using the digits 1,2,3,4,5,6,7,8,9 each digit appearing not more than once in each number