Permutations & Combinations MCQs with Answers

Past Paper MCQ

$\frac{10!}{7!} = ?$

• A.$120$
• B.$720$
• C.$5040$
• D.$1000$

Past Paper MCQ

In how many ways can 2 students be chosen from a class of 20 students?

• A.$210$
• B.$380$
• C.$400$
• D.$190$

Past Paper MCQ

Find the number of triangles which can be formed by joining the angular points of a polygon of 8 sides as vertices.

• A.$56$
• B.$48$
• C.$64$
• D.$28$

Past Paper MCQ

What is the number of ways that 4 boys and 3 girls can be seated in a row so that boys and girls alternate?

• A.$120$
• B.$288$
• C.$144$
• D.$5040$

Past Paper MCQ

In how many ways can a President, Vice President, and Water-boy be selected from a group of 10 people?

• A.$^{10}P_3$
• B.$^{10}C_3$
• C.$10^3$
• D.$3^{10}$

At the end of a match, ten players shake hands with each other once. How many handshakes will there be altogether?

• A.$90$
• B.$100$
• C.$45$
• D.$50$

The number of ways in which 5 keys can be arranged in a circular ring is:

• A.$12$
• B.$120$
• C.$24$
• D.$60$

How many distinct arrangements can be made from the letters of the word "BOOK"?

• A.$24$
• B.$6$
• C.$12$
• D.$4$

At a conference, 13 members shook hands with each other before and after the meeting. How many total number of handshakes occurred?

• A.$156$
• B.$78$
• C.$169$
• D.$312$