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

Lillianna Andersen

Lillianna Andersen

Answered

2022-07-15

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

Answer & Explanation

Leslie Rollins

Leslie Rollins

Expert

2022-07-16Added 25 answers

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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