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Permutations & Combinations Quest

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Permutations & Combinations Quest

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Quiz on permutations and combinations

Created by

Prabu J
Prabu J
India

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Permutations & Combinations Quest
 

Permutations & Combinations QuestOnline version

Quiz on permutations and combinations

by Prabu J
1

How many ways to arrange 4 distinct books in a row?

2

Choose 2 people from a group of 5 to form a committee. How many ways?

3

If order matters, how many ways to arrange 3 items from 5?

4

How many 3-letter arrangements from A, B, C if letters can repeat?

5

How many 3-person committees from 6 people with no order?

6

If you have 6 books and want to pick 2 to carry, order matters. How many ways?

7

How many ways to arrange the letters in the word 'BALLOON' (with repeats)?

8

Number of ways to choose 4 from 8 without order?

9

If 4 distinct items are chosen and order doesn’t matter, how many 2-item selections from 4?

10

What is nPr when n=7, r=0?

Feedback

In permutations, order matters: 4! = 24.

Combinations: C(5,2)=5!/(2!3!)=10.

5P3 = 5×4×3 = 60.

With repetition and order: 3 choices per position → 3^3=27.

C(6,3)=6!/(3!3!)=20.

P(6,2)=6×5=30.

Total permutations with repeats: 7!/(1!1!2!2!)=5040/4=1260.

C(8,4)=8!/(4!4!)=70.

C(4,2)=6.

Any set choosing 0 items has 1 arrangement: 7P0 = 1.

 
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