For 8 species, the number of permutations is calculated as:
Related Articles
- \text{Area} = \frac{1}{2} \times \text{diagonal}_1 \times \text{diagonal}_2 = \frac{1}{2} \times 8 \times 8 = \boxed{32}
- ---**Question:** An ornithologist is studying a flock of 8 distinct bird species migrating together. In how many ways can the ornithologist label these species with unique tags numbered 1 through 8?
- To solve this problem, we need to determine the number of permutations of 8 distinct bird species, as each species is assigned a unique tag. The number of permutations of \( n \) distinct objects is given by \( n! \) (n factorial).
- 8! = 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1
- Calculating this step-by-step:
- \times 7 = 56
