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

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)

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