Lillianna Andersen

2022-07-15

How many ways can you make a sandwich by choosing 4 out of 10 ingredients?

Leslie Rollins

Expert

Step 1
While there is a formula to use, it is quite easy to think through the question as follows:
When we choose the first ingredient, there are 10 choices.
When we now choose the second ingredient there are 9 choices.
For the third, there are 8.
For the fourth there are 7.
Step 2
Each ingredient can be combined with the others, giving: $10×9×8×7=5,040$.

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