Question:

There are 9 different rock lizard species, each with a unique colour. Lizards of 2 different species sit on a rock at any given time. The number of possible colour combinations of rock lizards seen together on a rock is:

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When dealing with combination problems, use the combination formula: \[ \binom{n}{r} = \frac{n!}{r!(n-r)!} \] This helps calculate the number of ways to choose \(r\) items from a set of \(n\) items without regard to order. For two species of lizards, use this formula to determine the number of possible pairings.
Updated On: Apr 8, 2025
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Solution and Explanation

Understand the combination formula.
The problem asks for the number of combinations where we pick 2 different species from a group of 9. The combination formula is: \[ \binom{9}{2} = \frac{9 \times 8}{2} = 36 \] Step 2: Conclusion Thus, the number of possible colour combinations of rock lizards is \( \boxed{36} \).
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