
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
a) There are 5 different cups and 3 different saucers in the "Everything for Tea" store. In how many ways can you buy a cup with a saucer?

b) The store also has 4 teaspoons. In how many ways can you buy a set consisting of a cup, saucer, and spoon?

c) The store still sells 5 cups, 3 saucers, and 4 teaspoons. In how many ways can you buy two items with different names?

Present the answer in LaTex format: \boxed{Your answer}
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