Higher June 2022 Paper 6 Q13
13 A car registration plate has two letters, a number from 10–99 and three letters.
For example:
AB56 CDE
The letters I and O are not used, leaving 24 possible letters.
Show that there are approximately 720 million possible car registration plates of this form. [4]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 716 636 160 with correct working | 4 | B1 for 90 or 9 × 10 | “correct working” requires at least M1 Allow 9 × 10 or 89 for their 90 |
| AND M2 for 24 × 24 × their 90 × 24 × 24 × 24 oe or M1 for 24 × 24 [× ….] or 24 × their 90 [× ….] or for 24, 24, 9, 10, 24, 24, 24 in any order | eg M1 for 24 × 5 × their 90 or for 24 × 23 × their 90 × 22 × 21 × 20 Accept list, summed, or on diagram | ||
| If 0 or 1 scored, instead award SC2 for 716 636 160 with no working If 0 scored, instead award SC1 for 26 × 26 × their 90 × 26 × 26 × 26 | |||