Aussie Maths & Science Teachers: Save your time with SmarterEd
A toy shop sells buckets and spades separately. Buckets are available in one of six colours. Spades are also available in one of the same six colours.
Abdul wants to buy a bucket-and-spade set where the bucket and spade are of different colours.
How many different bucket-and-spade sets are possible for Abdul to buy? (1 mark)
`30`
♦ Mean mark 35%.
| `text(Total combinations)` | `=\ text(bucket choices × spade choices)` |
| `= 6 xx 5` | |
| `= 30` |
Ben has 6 shirts, 4 ties and 2 jackets.
How many different outfits of a shirt, a tie and a jacket can he choose?
`D`
`text(Combinations)`
`= 6 xx 4 xx 2`
`= 48`
`=> D`
A cafe menu has 3 entrees, 5 main courses and 2 desserts. Ariana is choosing a three-course meal consisting of an entree, a main course and a dessert.
How many different three-course meals can Ariana choose?
`D`
| `text(# Combinations)` | `= 3 xx 5 xx 2` |
| `= 30` |
`=> D`