Evaluate the following 1. 7!/5! 2. 12!/ 10! x 2! 3. 6P4 4. 9P4

Question

Evaluate the following

1. 7!/5!

2. \(\frac{12 !}{10 ! \times 2 !}\)

3. 6P₄

4. 9P₄

5. 10P₅

Answer 1

1. \( \frac{7 !}{5 !} = \frac{7 \times 6 \times 5 !}{5 !}\) = 45

2. \(\frac{12!}{10! \times 2!} = \frac{12 \times 11 \times 10!}{10! \times 2!}\) = \(\frac{12 \times 11}{2!}\) = 66

3. 6P₄ = 6 × 5 × 4 × 3 = 360

4. 9P₄ = 9 × 8 × 7 × 6 = 3024

5. 10P₅ = 10 × 9 × 8 × 7 × 6 = 30240