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1.
A polygon has 20 diagonals. How many sides does it have?
2.
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 color?
3.
Six points lie on a circle. How many quadrilaterals can be drawn joining these points?
4.
There are 3 children of a lady. In how many ways is it possible to dress them for a party if the first child likes 3 dresses, second likes 4 and the third likes 5 but the
third child has out grown one of them? Each child has a different set of clothes.
5.
How many three-digit odd numbers can be formed from the digits 1,3, 5,0 and 8?
6.
Find the number of words formed by permuting all the letters of the word INDEPENDENCE.
7.
There are 12 children in a partly. For a game they have to be paired up. How many different pairs can be made for the game?
8.
How many different differences can be obtained by taking only 2 numbers at a time from 3, 5,2,10 and 15.
9.
In a class lest 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?
10.
How many five digit numbers can be formed using the digits 0, 2, 3,4 and 5, when repetition is allowed such that the number formed is divisible by 2 and 5?