Higher November 2019 Paper 1 Q19
19.
(a) A 5-course banquet has 3 options for each course.
The number of possible 5-course meals is \(m\).
Find the value of \(m\). [2]
The number of possible 5-course meals is \(m\).
Find the value of \(m\). [2]
(b) The caterer for the banquet decides to change the menu so that there are only 2 options for the first course. The options for the other courses remain the same.
The number of possible 5-course meals is now \(pm\).
Find the value of \(p\). [2]
The number of possible 5-course meals is now \(pm\).
Find the value of \(p\). [2]
| Scheme | Marks | Comments |
|---|---|---|
| 243 | B2 | B1 for \(3^5\) oe |
| Scheme | Marks | Comments |
|---|---|---|
| \(\dfrac{2}{3}\) oe | B2 | B1 for \(p \times\) ‘their \(m\)’ = \(2 \times 3^4\) oe or for sight of \(\dfrac{3^4 \times 2}{3^5}\) or \(\dfrac{3^5 \times 2}{3}\) oe |
| (4) |