Checkpoint 2 of 3 Covers Lessons 6–10

Checkpoint 2: Combinations, Pascal's Triangle & Binomial Theorem

Test your understanding of combinations, Pascal's identity, and binomial expansions.

Multiple Choice

This checkpoint is not available yet.

Its question set has not been written, so there is nothing here to attempt. Nothing you have done is lost, and the lessons either side of it are unaffected.

To test yourself on this material now, use the module quiz, which covers the same content.

Short Answer

1. Evaluate $^8C_3$. (1 mark)

2. A committee of 4 is chosen from 9 people. How many committees are possible? (1 mark)

3. Verify Pascal's identity for $n=5$, $r=3$. (2 marks)

4. Expand $(x+2)^3$. (2 marks)

5. Find the coefficient of $x^2$ in $(x+3)^4$. (2 marks)