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At a local hardware store, Kendrick is selecting tools for a small toolkit, which will include one of each type of tool. There are 4 hammers and 2 screwdrivers to choose from. For the wrench, Kendrick has 6 options. Lastly there are 10 possibilities for the saw. How many different toolkits can Kendrick build? square toolkits

Question

At a local hardware store, Kendrick is selecting tools for a small toolkit, which will include one of each type of tool. There are 4 hammers and 2 screwdrivers to choose from. For the wrench, Kendrick has 6 options. Lastly there are 10 possibilities for the saw. How many different toolkits can Kendrick build? square toolkits

At a local hardware store, Kendrick is selecting tools for a small toolkit, which will include one
of each type of tool. There are 4 hammers and 2 screwdrivers to choose from. For the
wrench, Kendrick has 6 options. Lastly there are 10 possibilities for the saw. How many
different toolkits can Kendrick build?
square  toolkits

Solution

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ZariaProfessional · Tutor for 6 years

Answer

### 480 toolkits

Explain

## Step 1: Calculate the number of hammer-screwdriver combinations<br />### There are 4 hammer choices and 2 screwdriver choices. The number of combinations is found by multiplying these together: $4 \times 2 = 8$.<br />## Step 2: Calculate the number of hammer-screwdriver-wrench combinations<br />### Now include the wrench options. There are 6 wrench choices. Multiply the previous result by 6: $8 \times 6 = 48$.<br />## Step 3: Calculate the total number of toolkit combinations<br />### Finally, include the saw options. There are 10 saw choices. Multiply the previous result by 10: $48 \times 10 = 480$.
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