Question Bank: Permutations and Combinations

If a student has 4 different books and wants to choose 2 to read, how many ways can he choose them?

A shirt can be chosen in 3 different ways, and a pant can be chosen in 5 different ways. How many different outfits can be made?

How many different 3-digit numbers can be formed using the digits 1, 2, 3, and 4 with no repetition?

If an event occurs in 5 different ways and is followed by another event that can occur in 3 different ways, what is the total number of occurrences?

In how many ways can 5 different frames be arranged on a shelf?

A clothing store has 4 types of dresses and 3 types of accessories. How many different combinations can a customer select?

How many different ways can a team of 4 players be selected from a group of 10?

A menu offers 3 appetizers, 2 main courses, and 4 desserts. How many different three-course meals can be made?

If there are 4 colors of paint and 5 different brushes available, how many combinations of one color and one brush can be created?

How many ways can you arrange the letters of the word 'MATH'?

A class has 15 students. How many ways can a leader and a deputy leader be chosen?

If a pizza place offers 4 toppings and a customer can choose 2, how many combinations of toppings are available?

How many different 5-letter arrangements can be formed from the letters A, B, C, D, E if no letter is repeated?

A person can choose 3 different fruits from a selection of 7. How many different combinations can they choose?

Out of 5 different books, how many ways can you select any 3 books?

How many different 3-digit numbers can be formed with the digits 0, 1, 2, 3, 4 if no digit is repeated and must not start with 0?

If a lock has 4 wheels each labelled with digits 0-9, how many different combinations can be formed using 4 digits without repetition?

How many different outfits can Mohan create if he has 3 pants and 2 shirts?

What is the number of ways Sabnam can choose 1 school bag, 1 tiffin box, and 1 water bottle from her collection of 2 bags, 3 boxes, and 2 bottles?

In how many unique ways can 3 friends be seated in a row?

If 5 books are on a shelf, how many ways can they be arranged in a row?

How many arrangements can be made from the letters of the word 'MATH'?

If you have to select 2 fruits from a basket of 5 different fruits, how many different pairs can you form?

In a committee of 5 members, how many ways can a president and a secretary be chosen?

If there are 6 different colored balls and you want to select 3, how many different selections can be made?

In how many ways can you arrange the letters of the word 'APPLE'?

If 8 contestants are to be ranked in a competition, how many ways can the rankings be arranged?

From a set of 10 players, how many ways can you select a team of 3 players?

How many ways can you arrange the letters in the word 'BANANA'?

In how many ways can 4 people be seated at a round table?

If you can choose 2 out of 4 items, how many different ways can you do this?

How many ways can you choose 3 objects from a set of 5 distinct objects?

How many different ways can the letters of the word 'MATH' be arranged?

In how many ways can 4 letters be chosen from the letters A, B, C, D, E?

In how many distinct ways can the letters of the word 'BEE' be arranged?

What is the value of 7C3?

If you have 5 different books, how many ways can you arrange 3 of them?

How many combinations of 3 fruits can be chosen from 6 different kinds of fruits?

How many ways can the letters of 'MISSISSIPPI' be arranged?

If you can choose 2 candies from a selection of 8 different candies, how many different combinations can you make?

What is the number of ways to arrange the letters in the word 'TEETH'?

In a group of 10 friends, how many ways can you select a committee of 4?

How many different arrangements can be made from the letters in 'BANANA'?

How many ways can you select 2 from 5 people?

In how many ways can 4 people be seated in a row of 5 chairs?

What is the meaning of nCk in combinations?

How many 4-letter codes can be formed using the letters A, B, C, D if no letter can be repeated?

If 4 out of 10 students are to be selected for a task, how many ways can this be done?

From a group of 6 people, how many unique pairs can be formed?

From a deck of 52 playing cards, how many ways can you choose 5 cards?

If the digits 1, 2, 3, 4, and 5 are used, how many 3-digit numbers can be formed with repetition allowed?

In how many ways can 6 students be grouped into pairs?

In how many ways can a committee of 3 be selected from 5 people?

What is 10C0 equal to?

How many different ways can the letters of the word 'AAABB' be arranged?

You want to form teams of 3 from a group of 8 people. How many unique teams can you form?

From the set {A, B, C, D, E}, how many ways can we choose 4 letters?

If a committee of 3 is to be made from 7 people, one specific person must be included. How many choices do you have?

In how many ways can you arrange the word 'EXAMINATION'?

How many ways can you choose 5 books from a shelf of 20 distinct books?

How many different ways can the letters in 'LEVEL' be arranged?

An ice cream shop offers 5 different flavors. How many different combinations of 2 flavors can be made?

What is the number of ways to arrange six different fruits in a line?