1.
If you join all the vertices of a heptagon, how many quadrilaterals will you get?
2.
Four students have to be chosen 2 girls as the captain and vice-captain and 2 boys as captain and vice-captain of the school. There are 15 eligible girls and 12 eligible boys. In how many ways can they be chosen if Sunita is sure to be the captain?
3.
A teacher prepares at least. She gives 5 objective type questions out of which 4 have to be answered. Find the total ways in which they can be answered if the first 2 questions have 3 choices and the last 3 have 4 choices.
4.
How many 5 digit numbers are there with distinct digits?
5.
In how many ways can 15 students be seated in a row such that the 2 most talkative children never sit together?
6.
Ten different letters of an alphabet are given. 2 of these letters followed by 2 digits are used to number the products of a company. In haw many ways can the products be numbered?
7.
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.
8.
Find the number of words formed by permuting all the letters of the word INDEPENDENCE such that the E's do not come together.
9.
In how many ways can 8 people be sealed at a round table?
10.
In how many ways can 9 students be seated in a row such that the tallest child and the shortest child never sit together?