Higher June 2023 Paper 1 Q19
19 Work out how many 5-digit odd numbers can be made using these digits once each.
\[2 \qquad\quad 4 \qquad\quad 6 \qquad\quad 7 \qquad\quad 9\]Do not list them. [2 marks]
| Answer | Mark | Comments |
|---|---|---|
| \(4 \times 3 \times 2\ (\times 1) \times 2\) or \(5 \times 4 \times 3 \times 2\ (\times 1) \times \dfrac{2}{5}\) or \(120 \times \dfrac{2}{5}\) | M1 | oe |
| 48 | A1 | SC1 12 or 24 or 72 or 120 |
Additional guidance
12 is the number of possible 5-digit numbers ending in two odd digits
24 is the number of possible 5-digit numbers ending in 7
or the number of possible 5-digit numbers ending in 9
72 is the number of possible 5-digit even numbers
120 is the number of possible 5-digit numbers
Ignore any listing of possible numbers