
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
Claudia has 15 coins, each of which is a 5-cent coin or a 10-cent coin. There are exactly 23 different values that can be obtained as combinations of one or more of her coins. Among these values, Claudia can use no more than 10 coins to form at least 15 different values. Determine how many 10-cent coins Claudia has.
A) 5
B) 7
C) 8
D) 9

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