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Chapter 11: Q. 6 (page 610)

A restaurant鈥檚 lunch special includes a sandwich, a side order, and a drink. The restaurant鈥檚 menu has 5 different sandwiches, 3 different side orders, and 4 different drinks. How many different combinations of lunch special are possible?

Short Answer

Expert verified

The different combinations of the lunch special possible are,

5C1+4C1+3C=60

Step by step solution

01

Step 1. Given Information.

The expression for possible combination from given dataset,

5C1脳4C1脳3C1

02

Step 2. Calculation.

Use the formula and simplify.

5C1脳4C1脳3C1=5P11!脳4P11!脳3P11!useformulaofcombination5C1+4C1+3C=51脳41脳31writeasproducts5C1+4C1+3C=5脳4脳3multiply5C1+4C1+3C=60

03

Step 2. Conclusion.

The different combinations of the lunch special possible are,5C1+4C1+3C=60 .

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