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.
How you perform is determined by your score and the time you take.
When you play a quiz, your answers are evaluated in concept instead of actual words and definitions used.
See sample questions for grade 10
A password consists of 2 letters followed by 3 digits. How many different passwords can be formed if repetition is allowed?
How many different 3-digit numbers can be formed using the digits 1, 2, 3, 4, and 5, if no digit is repeated?
How many different 4-letter words (real or imaginary) can be formed from the letters A, B, C, D, and E if no letter is repeated?
How many different 5-digit numbers can be formed using the digits 1, 2, 3, 4, 5, 6, and 7 if no digit is repeated?
How many different ways can the letters of the word 'MATH' be arranged?
How many ways can 3 identical balls be placed into 4 distinct boxes?
How many ways can 4 people be seated at a round table?
How many ways can 5 people be seated in a row if two particular people must sit together?
How many ways can you arrange the letters of the word 'LEVEL'?
How many ways can you arrange the letters of the word 'SUCCESS'?
How many ways can you choose 2 students from a group of 10?
How many ways can you distribute 3 identical candies among 4 children?
How many ways can you select 2 red balls and 3 blue balls from a box containing 5 red and 6 blue balls?
How many ways can you select a president, vice-president, and secretary from a group of 6 people?
If a committee of 3 is to be formed from 8 people, and one person must be included, how many different committees are possible?
If a committee of 4 is to be formed from 7 people, how many different committees are possible?
If a pizza shop offers 3 types of crust, 4 types of cheese, and 5 types of toppings, how many different pizzas can you make by choosing one of each?
If there are 8 runners in a race, in how many ways can the gold, silver, and bronze medals be awarded?
If you flip a coin 4 times, how many possible outcomes are there?
If you have 10 different books and want to arrange 4 of them on a shelf, how many different arrangements are possible?
