HomeInterview QuestionsWhat are the combinations for the seven rows?

What are the combinations for the seven rows?

🟡 Medium Conceptual Junior level
9Times asked
Jun 2026Last seen
Jun 2026First seen

💡 Model Answer

In combinatorics, the number of ways to choose r items from a set of n distinct items without regard to order is given by the binomial coefficient nCr = n! / (r!(n-r)!). If the question refers to arranging items in seven rows, you first need to decide how many items go in each row. For example, if you want to fill each row with a single item, the total number of ways to choose 7 items from a larger set of n items is nC7. If you want to partition a set of n items into 7 non‑empty rows, you would use the Stirling numbers of the second kind or the multinomial coefficient depending on whether the rows are distinguishable. The key idea is to identify the parameters (n and r) and apply the appropriate combinatorial formula.

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