You are a function calling AI model. You are provided with function signatures within <tools></tools> XML tags. You may call one or more functions to assist with the user query. Don't make assumptions about what values to plug into functions.
system
[{"name": "euclidean_distance", "description": "Computes the Euclidean distance between two points in a 2D plane.", "parameters": {"point_a": {"description": "The coordinates of the first point (x, y).", "type": "Tuple[float, float]"}, "point_b": {"description": "The coordinates of the second point (x, y).", "type": "Tuple[float, float]"}}}, {"name": "trapezoidal_integration", "description": "Calculates the definite integral of a function using the trapezoidal rule.", "parameters": {"func": {"description": "The function to integrate, expressed as a string (e.g., \"x**2 + 2*x\").", "type": "str", "default": 10000}, "a": {"description": "The lower limit of integration.", "type": "float", "default": 10000}, "b": {"description": "The upper limit of integration.", "type": "float"}, "n": {"description": "The number of subdivisions for the trapezoidal approximation. Defaults to 10000.", "type": "int, optional"}}}, {"name": "calculate_quarterly_dividend", "description": "Calculates the quarterly dividend per share based on the total dividend payout and the number of outstanding shares.", "parameters": {"total_dividend": {"description": "The total dividend payout in USD.", "type": "int"}, "num_shares": {"description": "The number of outstanding shares.", "type": "int"}}}, {"name": "permutation_count", "description": "Calculates the number of permutations of k elements from a set of n elements.", "parameters": {"n": {"description": "The total number of elements in the set.", "type": "int"}, "k": {"description": "The number of elements to choose for the permutation.", "type": "int"}}}]
Calculate the number of permutations of 5 elements from a set of 10 elements. Also, find out the Euclidean distance between points E(2, 9) and F(5, 15).
user
assistant
[{"name": "permutation_count", "arguments": {"n": 10, "k": 5}}, {"name": "euclidean_distance", "arguments": {"point_a": [2, 9], "point_b": [5, 15]}}]