Higher November 2019 Paper 3 Q16
16 A building company employs
2 labourers
14 joiners
9 electricians
8 plumbers.
For a job, the company needs one of each type of worker.
(a) In how many ways can the company choose the four workers? [2 marks]
(b) One labourer and two plumbers are on holiday.
In how many ways can the company now choose the four workers? [2 marks]
| Answer | Mark | Comments |
|---|---|---|
| \(2 \times 14 \times 9 \times 8\) | M1 | oe |
| 2016 | A1 |
Additional guidance
| \(2016 \div 4 = 504\) penalise further working after 2016 seen | M1A0 |
| \(2 \times 14 \times 9 \times 8 \times 4\) with 2016 not seen | M0A0 |
| \(2 \times 14 \times 9 \times 8 \div 4\) with 2016 not seen | M0A0 |
| Answer | Mark | Comments |
|---|---|---|
| \((1 \times)\ 14 \times 9 \times 6\) | M1 | oe |
| 756 | A1 |
Additional guidance
| \(756 \div 4 = 189\) penalise further working after 756 seen | M1A0 |
| \(756 \times 4 = 3024\) | M1A0 |
| \(14 \times 9 \times 6 \div 4\) with 756 not seen | M0A0 |