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Estelle's family is going to get a hamster, but first they need to buy the supplies. The pet store has 8 cages and 10 kinds of wood shavings to cover the floor of the cage. There are 4 kinds of water bottles. How many different ways can Estelle's family set up a home for their hamster? square ways

Question

Estelle's family is going to get a hamster, but first they need to buy the supplies. The pet store has 8 cages and 10 kinds of wood shavings to cover the floor of the cage. There are 4 kinds of water bottles. How many different ways can Estelle's family set up a home for their hamster? square ways

Estelle's family is going to get a hamster, but first they need to buy the supplies. The pet
store has 8 cages and 10 kinds of wood shavings to cover the floor of the cage. There are 4
kinds of water bottles. How many different ways can Estelle's family set up a home for their
hamster?
square  ways

Solution

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IlaProfessional · Tutor for 6 years

Answer

### 320

Explain

## Step 1: Calculate the combinations of cages and shavings<br />### Estelle's family has 8 cage choices and 10 choices for shavings. For each cage, there are 10 shaving options. Therefore, the total number of cage and shaving combinations is $8 \times 10 = 80$.<br /><br />## Step 2: Calculate the total combinations including water bottles<br />### There are 80 combinations of cages and shavings, and for each of these combinations, there are 4 water bottle choices. The total number of ways to set up the hamster's home is $80 \times 4 = 320$.
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