
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
There are 6 males and 4 females standing in a row. How many arrangements are there that satisfy the following conditions? (Express the answer in mathematical form)
(1) Male A must be in the first position;
(2) Male A and Male B must be in the middle;
(3) Male A is not in the first position, and Male B is not in the last position;
(4) Male A and Male B must be together;
(5) The 4 females are standing together;
(6) No two females can be adjacent;
(7) The order of Males A, B, and C is fixed.

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