
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
Consider the set \(\{ 87, 92, 98, 101, 135, 142, 168 \}\). How many subsets containing three different numbers can you select from this set so that the sum of the three numbers is odd?
A) 10  
B) 14  
C) 16  
D) 19  
E) 21

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