Combinatorics
Math ⇒ Statistics and Probability
Combinatorics starts at 9 and continues till grade 12.
QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Combinatorics.
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See sample questions for grade 12
A bag contains 4 red, 5 blue, and 3 green balls. How many ways can 3 balls be drawn if at least one must be green?
A class has 12 students. In how many ways can a president, vice-president, and secretary be chosen?
A committee of 4 is to be formed from 7 men and 5 women. How many ways can the committee be formed if it must contain exactly 2 women?
A password consists of 2 letters followed by 3 digits. How many different passwords can be formed if repetition is allowed?
How many 3-digit numbers can be formed using the digits 1, 2, 3, 4, 5 if no digit is repeated?
How many 4-letter words (real or imaginary) can be formed from the letters A, B, C, D, E if no letter is repeated and the word must start with a vowel?
How many different ways can 5 books be arranged on a shelf?
How many ways can 3 red balls and 2 blue balls be arranged in a row if balls of the same color are identical?
How many ways can 4 boys and 3 girls be seated in a row so that no two girls sit together?
How many ways can 5 people be seated in a row if two particular people must always be together?
How many ways can 6 people be seated at a round table if two particular people must not sit together?
If 10 people shake hands with each other once, how many handshakes occur?
If 8 people are to be divided into two groups of 4, how many ways can this be done?
If the letters of the word 'PROBABILITY' are arranged, how many distinct arrangements are possible?
What is the value of 7 choose 3?
