LEARNERS ACTIVITY SHEET (Week 5) Solving Problems involving Permutations and Combinations ACTIVITY 1: Directions: Answer the following. The first number is done for you. A. Express the following product in simplest factorial form. 1. 1 \cdot 2 \cdot 3 \cdots 8 \cdot 9 \cdot 10 2. 15 \cdot 14 \cdot 13 \cdots 4 \cdot 3 \cdot 2 \cdot 1 3. 9 \cdot 8 \cdot 7 \cdot 6! 4. 54 \cdot 53 \cdot 52 \cdot 51! 5. $(r)(r - 1)(r - 2)(r - 3) \cdots 3 \cdot 2 \cdot 1$ Answer: 10! B. Express the following factorial notation in product form. 6. $9!$ 7. $2! \cdot 4!$ 8. $6! + 3!$ 9. $n!$ 10. $(5n)!$ Answer: $1 \cdot 2 \cdot 3 \cdots 8 \cdot 9$
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Give an expression for the answer using permutation notation, combination notation, factorial notation, and other operations. Then evaluate. Of the first 10 questions on the test, the student must answer 6. Of the second 5 questions, the student must answer 4. In how many ways can this be done? Identify which notation properly depicts the solution to this problem. Select all that apply. There is a total of ways to do this test. (Simplify your answer)
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