5. Report contents / Зміст звіту #

The report is submitted together with the source code. It must contain the following sections.

1. Title block — course, laboratory work number and title, student’s name and group, date.
2. Objective — a short statement of the goal of the work (see 1purpose.md).
3. Brief theory — the formulas for permutations, arrangements, and combinations, and the definitions of mean, variance, and standard deviation, in your own words (see Lecture 13 — Probabilities).
4. Chosen representation — how a dataset and the generated combinatorial objects are stored; note whether you used the population ($\div n$) or sample ($\div (n-1)$) variance and why.
5. Implementation — the source code of the calculator, the statistics analyzer, and the generator, with brief comments. State the programming language used.
6. Testing — inputs and results including the examples of 4task.md ($P_5,\,A_5^3,\,C_5^3 = 120,\,60,\,10$; the dataset’s mean $5$, variance $4$, $\sigma = 2$; the six permutations of $\{A,B,C\}$) and your own cases (e.g. $k = 0$ and $k = n$; a dataset with all equal values, whose variance is $0$).
7. Achieved band — state which band you reached and which tasks it covers.
8. Complexity — the cost of computing the counts, of the statistics, and of generating all permutations, with a sentence on why generation is limited to small $n$.
9. Conclusions — what was implemented, difficulties encountered, and what you learned about counting and descriptive statistics.

Submission requirements. The source must compile/run and reproduce the example outputs of 4task.md.

Laboratory/Laboratory7/5report.md · 1.8 KB · updated 2026-07-31 21:14