Higher November 2022 Paper 1 Q20
20.
(a) Use the digits 1, 2, 3, 4 and 5.
How many different 3-digit whole numbers can be made, if each digit can be used more than once? [2]
How many different 3-digit whole numbers can be made, if each digit can be used more than once? [2]
(b) What is the probability that a 3-digit whole number made using the digits 1, 2, 3, 4 and 5 has no repeated digit? [3]
| Scheme | Marks | Comments |
|---|---|---|
| 125 | B2 | B1 for sight of \(5^3\) oe |
| Scheme | Marks | Comments |
|---|---|---|
| 60 | B2 | B1 for sight of \(5 \times 4 \times 3\) but not \(5 \times 4 \times 3 \times 2\ (\times 1)\) |
| \(\dfrac{60}{125}\) oe ISW | B1 | FT ‘their derived 125’ provided it is not 100, and ‘their \(5 \times 4 \times 3\)’ provided fraction < 1 |
| (5) |