Checkpoint 1 of 3 Covers Lessons 1–5

Checkpoint 1: Counting Principles, Factorials, Permutations & Circular

Test your understanding of fundamental counting, factorials, permutations, and circular arrangements.

Multiple Choice

Short Answer

1. A meal consists of 2 entrees, 3 mains, and 2 desserts. How many different meals are possible? (1 mark)

2. Evaluate $\\frac{10!}{8!}$. (1 mark)

3. How many 3-letter arrangements can be made from the letters P, Q, R, S, T without repetition? (1 mark)

4. In how many ways can 6 people be arranged around a circular table? (1 mark)

5. How many arrangements of the letters A, B, C, D, E have A and B together? (2 marks)