Higher June 2025 Paper 2 Q14
14 There are 15 dogs in a dog show.
One dog is awarded first prize.
A different dog is awarded second prize.
There are 12 cats in a cat show.
One cat is awarded first prize.
A different cat is awarded second prize.
Work out how many different ways these four prizes can be awarded. (3)
| Answer | Mark | Mark scheme |
|---|---|---|
| 27 720 | P1 | for \(15 \times 14\ (= 210)\) or \(12 \times 11\ (= 132)\) or \(15 \times 12\ (= 180)\) |
| P1 | for a complete method eg \(15 \times 14 \times 12 \times 11\) | |
| A1 | cao SCB1 for an answer of 342 if P0 awarded |
Additional guidance
If values given as probabilities can award P marks only
If a correct product seen and divided (by 2 or 4 or 24) award P marks