✏️ Practice Exercises

Permutations & Combinations

5 problems · Easy to Hard · Type your working · AI checks your steps

💡

How to use these exercises

Read the question → work it out step-by-step in the box → click Check My Working to get AI feedback. Use hints if stuck. Reveal the full solution only after you have tried.

01

easy

In how many ways can the letters of the word "MATH" be arranged?

💡 Show hint

All distinct letters, all positions used → n!

Your Working

02

easy

How many ways can a committee of 3 be chosen from 7 people?

💡 Show hint

Order doesn't matter → use nCr.

Your Working

03

medium

How many 4-digit numbers can be formed using digits 1–9 without repetition?

💡 Show hint

Order matters → use nPr.

Your Working

04

medium

In how many ways can 8 people be seated around a circular table?

💡 Show hint

Circular arrangements: (n − 1)!

Your Working

05

hard

In how many distinct ways can the letters of the word "MISSISSIPPI" be arranged?

💡 Show hint

Total letters! divided by factorial of each repeated letter count.

Your Working

🏆

Finished all 5 problems?

Head back to the lesson or ask Gani for more help.

🏆 Take the Quiz →🤖 Ask Gani