Test: Problem Solving- 2

Find the number of words formed by permuting all the letters of the word INDEPENDENCE. 

There are 12 children in a party. For a game they have to be paired up. How many different pairs can be made for the game? 

How many different differences can be obtained by taking only 2 numbers at a time from 3, 5,2,10 and 15? 

In a class test there are 5 questions. One question has been taken from each of the 4 chapters. The first two chapters have 3 questions each and the last two chapters have 6 questions each. The fourth question can be picked from any of the chapters. How many different question papers could have been prepared? 

ow many five digit numbers can be formed using the digits 0, 2, 3,4and 5, when repetition is allowed such that the number formed is divisible by 2 and 5? 

In how many ways can five rings be worn in 3 fingers? 

How many pentagons can be drawn by joining the vertices of a polygon with 10 sides? 

Find the number of words formed by permuting all the letters of the word INDEPENDENCE such that the E???s do not come together. 

Ten different letters of an alphabet are given. Words with 6 letters are formed with these alphabets. How many such words can be formed when repetition is not allowed in any word? 

If P(2n+1,n-1):P(2n-1,n) = 3:5, find n.

A polygon has 20 diagonals. How many sides does it have? 

A box contains 5 red and 4 blue balls. In how many ways can 4 balls be chosen such that there are at most 3 balls of each colour?