Curriculum-aligned Mathematics questions for Class 11 under CBSE. Shortlist topics, practice at your pace, and make every answer count.
Consider a situation where you need to arrange 5 different books on a shelf. Calculate the number of possible arrangements using the permutations formula (nPr). Provide a detailed explanation of how the formula is derived and how it applies to this scenario. Discuss the significance of the order in arrangements and the implications of using a different number of books.
Using the Fundamental Principle of Counting, analyze a scenario where a committee of 3 members is to be formed from a group of 10 people. Calculate the total number of different committees possible and explain the reasoning behind your calculation. Discuss how the principle applies in this context and what assumptions are made.
How many different ways can 6 runners finish a race?
If there are 4 different flavors of ice cream and you want to choose 2, how many different combinations can you make?
Determine the number of ways to select 4 students from a class of 12.
Express 7! in terms of multiplication of integers.
In how many different ways can a committee of 3 members be formed from a group of 10 people?
Calculate the number of ways to arrange 5 different books on a shelf.
Using the Fundamental Principle of Counting, how many ways can a person choose 3 shirts and 2 pairs of pants if there are 5 shirts and 4 pairs of pants available?
How many ways can 5 different books be arranged on a shelf?
From a deck of 52 cards, how many ways can you select 5 cards?
How many different ways can the letters of the word 'BOOK' be arranged?
If a restaurant offers 3 appetizers and 5 main courses, how many different meal combinations can be made?
How many ways can 4 fruits be selected from a basket of 10 different fruits?
What is the value of 5! (5 factorial)?
In how many ways can 5 different paintings be hung on a wall?
How many different 3-letter arrangements can be formed from the word 'CAT'?
If 3 different shirts and 4 different trousers are available, how many different outfits can be formed?
How many ways can 3 items be chosen from a set of 8 items?
What is the factorial notation for 7?