4. Task and order of execution / Завдання та порядок виконання #

Source of tasks. The three tasks below are taken exactly from the assignment. Implement the described behaviour; the input/output examples are authoritative.

Order of execution #

The tasks are grouped into three difficulty bands. Implement them in order and test each against its example; your score corresponds to the band of tasks you complete correctly.

Easy tasks (60–74 points) #

Task 1 — Combinatorics Calculator #

Objective: Write a program that calculates the number of Permutations, Arrangements, and Combinations for given n (total elements) and k (selection size).

• Input: Total elements (n): 5; Selection size (k): 3
• Output:
  • Permutations ($P_n$): 120
  • Arrangements ($A_n^k$): 60
  • Combinations ($C_n^k$): 10

Medium tasks (75–89 points) #

Task 2 — Statistics Analyzer #

Objective: Implement a program that reads a set of values and calculates the Mathematical Expectation (Mean), Variance, and Standard Deviation.

• Input: Dataset: {2, 4, 4, 4, 5, 5, 7, 9}
• Output:
  • Mathematical Expectation (E[X]): 5.0
  • Variance (D[X]): 4.0
  • Standard Deviation ($\sigma$): 2.0

Hard tasks (90–100 points) #

Task 3 — Combinatorial Generator #

Objective: Write a program that generates and outputs all specific Permutations, Arrangements, or Combinations for a given set of elements.

• Input: Set: {A, B, C}; Operation: Generate Permutations
• Output:
  • Result: (A, B, C), (A, C, B), (B, A, C), (B, C, A), (C, A, B), (C, B, A)
  • Total count: 6

Laboratory/Laboratory7/4task.md · 1.6 KB · updated 2026-07-31 21:14