Higher June 2017 Paper 5 Q14
14 John has
- 8 different shirts
- 6 different hats
- 4 different scarves.
(a) On Monday, he picks a shirt, a hat and a scarf.
Show that there are 192 different combinations he can pick. [1]
(b) John thinks that if he picks just two of the three items of clothing there will be more than 192 combinations.
Is he correct?
Show your reasoning. [3]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 8 × 6 × 4 [= 192] | 1 | Allow in stages | |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| No and shows 104 | 3 | M2 for (8 × 6) + (8 × 4) + (6 × 4) oe Or M1 for any correct product seen oe isw | M1 implied by 48 or 24 or 32 seen |