If you join all the vertices of a heptagon, how many quadrilaterals will you get?
A teacher prepares a test. 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.
In a school 5 colors are allotted to each house. If the flag of Tagore House has to be a sequence of three blocks of different colors, then how many flags can they choose from?
How 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 or 5 or both?
Four persons enter the lift of a seven story building at the ground floor. In how many ways can they get out of the lift on any floor other than the ground floor?
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?
If P(2n+1,n-1):P(2n-1,n) = 3:5, n must equal 6
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 color?
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?