Math Problem Statement

Book1.xlsx

14.93 KB

Find the combination of these numbers which equal 192.69

Solution

pandas as pd

Load the spreadsheet to examine its content

file_path = '/mnt/data/1735673233102k4ltzwd0.xlsx' xls = pd.ExcelFile(file_path)

Check sheet names to understand the structure of the file

xls.sheet_names Load the data from the first sheet df = pd.read_excel(xls, sheet_name='Sheet1')

Display the first few rows of the dataframe to understand its structure

df.head()The data contains a column named "Total Cost" with the following values:

  • 17.00
  • 19.25
  • 24.00
  • 26.50
  • 30.00

Now, I'll find the combination of these numbers that add up to 192.69. Let's proceed with that calculation. itertools

List of numbers from the dataset

costs = df['Total Cost'].tolist()

Target value to match

target_value = 192.69

Function to find combinations that sum up to the target value

def find_combinations(nums, target): for r in range(1, len(nums)+1): for combination in itertools.combinations(nums, r): if round(sum(combination), 2) == round(target, 2): yield combination

Find the valid combinations

valid_combinations = list(find_combinations(costs, target_value))

valid_combinationsThe process to find all combinations that sum up to 192.69 was taking too long due to the number of possible combinations. To improve efficiency, I will now limit the search to combinations of a reasonable number of elements, or apply more targeted methods to find a solution. Let me attempt a more refined approach. To reduce the number of combinations we will search combinations with up to 5 elements

If there is no valid combination of 5 elements, it means it's impossible to form 192.69 with the given numbers

valid_combinations_optimized = list(find_combinations(costs, target_value))

valid_combinations_optimizedIt seems like I can’t do more advanced data analysis right now. Please try again later.

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Math Problem Analysis

Mathematical Concepts

Combinatorics
Sum of numbers
Optimization

Formulas

Combinations formula: C(n, r) = n! / (r!(n-r)!)

Theorems

Combination Theorem

Suitable Grade Level

Grades 9-12