
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
An urn contains marbles of five colors: red, white, blue, green, and yellow. When five marbles are drawn without replacement, the following events are equally likely: 
(a) the selection of five red marbles; 
(b) the selection of one white and four red marbles; 
(c) the selection of one white, one blue, and three red marbles; 
(d) the selection of one white, one blue, one green, and two red marbles; 
(e) the selection of one marble of each color.
What is the smallest number of marbles satisfying the given condition?
A) 36
B) 41
C) 46
D) 51
E) More than 59

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