Evaluate the following1. 7!/5!2. \(\frac{12 !}{10 ! \times 2 !}\)3.

1.	Evaluate the following1. 7!/5!2. \(\frac{12 !}{10 ! \times 2 !}\)3. 6P44. 9P45. 10P5
Answer» 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

Evaluate the following1. 7!/5!2. \(\frac{12 !}{10 ! \times 2 !}\)3. 6P44. 9P45. 10P5

Answer»

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

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Evaluate the following1. 7!/5!2. \(\frac{12 !}{10 ! \times 2 !}\)3. 6P44. 9P45. 10P5

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