Graduate Management Admission Test (GMAT) Practice Test

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Study for the Graduate Management Admission Test (GMAT) with multiple-choice questions and detailed explanations. Enhance your preparation with practice flashcards and hints. Get ready for your GMAT exam!

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How would you express the combination 56 choose 3?

  1. 56C₃

  2. 56C₅

  3. 56C₀

  4. 56C₄

The correct answer is: 56C₃

The expression "56 choose 3" refers to the mathematical concept of combinations, specifically selecting 3 items from a total of 56 without regard to the order of selection. This is denoted using the combination formula, which is typically expressed in a notation like "nCk," where "n" is the total number of items to choose from, and "k" is the number of items to choose. In this case, "56 choose 3" tells us we are selecting 3 from 56, and is correctly expressed as 56C₃. Therefore, the correct option accurately represents the intended mathematical operation, which is fundamental in combinatorial mathematics often used in probability and statistics. The other choices reflect different values of "k" in the combinations formula, which do not correspond to the original question of selecting 3 items.