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AKUEB Class 11 (HSSC-I) Mathematics Permutation and Combination MCQs & Practice Questions | AKUEB Prep

Permutation and Combination - Class 11 (HSSC-I) Mathematics

6 practice questions for this chapter, gradeable instantly.

ClassSubjectChapterTopicSLODifficultyTypePast paperSort

Class 11 - Mathematics / Unit 5 - Permutation and Combination / 5.2 Counting Techniques / 5.2.8

Model Paper 2025MEDIUM

Solve the following question:

\displaystyle\binom{n}{3}=8(n-1)

, then find the value of

n

n =

Class 11 - Mathematics / Unit 5 - Permutation and Combination / 5.2 Counting Techniques / 5.2.7

Model Paper 2025EASY

A school is selecting $3$ students from a group of $10$ to represent the school in a debate competition. The number of ways through which the students can be selected is

720

120

35

30

Class 11 - Mathematics / Unit 5 - Permutation and Combination / 5.1 Factorial of a Natural Number / 5.1.1

Model Paper 2025EASY

$\dfrac{0!\,(5-1)!}{4}$ is equal to

3!

0!

1

0

Class 11 - Mathematics / Unit 5 - Permutation and Combination / 5.2 Counting Techniques / 5.2.2

Model Paper 2025HARD

A man goes to a bakery where he finds Samosas ( $S$ ), Vegetable rolls ( $R$ ) and Potato Cutlets ( $P$ ). They are served with Chatni ( $C$ ) or Ketchup ( $K$ ). Which tree diagram illustrates the given situation for all the possible combinations?

ABCD

Class 11 - Mathematics / Unit 5 - Permutation and Combination / 5.2 Counting Techniques / 5.2.4

Model Paper 2025MEDIUM

The possible number of arrangements of the letters of the word SYSTEMATIC, taken all at a time, is equal to

\dfrac{10!}{2!\,2!}

\dfrac{2!}{10!}

10!

2!\,10!

Class 11 - Mathematics / Unit 5 - Permutation and Combination / 5.1 Factorial of a Natural Number / 5.1.1

Model Paper 2025MEDIUM

If $\left(\dfrac{p}{2}\right)! = 6$ , then the value of $p$ is equal to

12!

6!

12

6