Each coroutine is defined by the @asyncio.coroutine annotation (called the decorator):

@asyncio.coroutine
def function (args):
    do something

To run in parallel, each function is an argument of the asyncio.Task module, and therefore, they are included in task_list:

if __name__ == '__main__':
    task_list = [asyncio.Task(factorial(10)),
                 asyncio.Task(fibonacci(10)),
                 asyncio.Task(binomial_coefficient(20, 10))]

Then, we get the event loop:

    loop = asyncio.get_event_loop()

Finally, we add the execution of task_list to the event loop:

    loop.run_until_complete(asyncio.wait(task_list))
    loop.close()

The output for the preceding code looks like this:

Asyncio.Task: Compute factorial(2)
Asyncio.Task: Compute fibonacci(0)
Asyncio.Task: Compute binomial_coefficient(1)
Asyncio.Task: Compute factorial(3)
Asyncio.Task: Compute fibonacci(1)
Asyncio.Task: Compute binomial_coefficient(2)
Asyncio.Task: Compute factorial(4)
Asyncio.Task: Compute fibonacci(2)
Asyncio.Task: Compute binomial_coefficient(3)
Asyncio.Task: Compute factorial(5)
Asyncio.Task: Compute fibonacci(3)
Asyncio.Task: Compute binomial_coefficient(4)
Asyncio.Task: Compute factorial(6)
Asyncio.Task: Compute fibonacci(4)
Asyncio.Task: Compute binomial_coefficient(5)
Asyncio.Task: Compute factorial(7)
Asyncio.Task: Compute fibonacci(5)
Asyncio.Task: Compute binomial_coefficient(6)
Asyncio.Task: Compute factorial(8)
Asyncio.Task: Compute fibonacci(6)
Asyncio.Task: Compute binomial_coefficient(7)
Asyncio.Task: Compute factorial(9)
Asyncio.Task: Compute fibonacci(7)
Asyncio.Task: Compute binomial_coefficient(8)
Asyncio.Task: Compute factorial(10)
Asyncio.Task: Compute fibonacci(8)
Asyncio.Task: Compute binomial_coefficient(9)
Asyncio.Task - factorial(10) = 3628800
Asyncio.Task: Compute fibonacci(9)
Asyncio.Task: Compute binomial_coefficient(10)
Asyncio.Task - fibonacci(10) = 55
Asyncio.Task - binomial_coefficient(20, 10) = 184756.0