expression, noun
number of possible outcomes; number of ways
Mathematical term used in combinatorics and probability to count how many ways something can occur or be arranged.
サイコロを2回振ったときの目の出方の、場合の数を求めなさい。
Find the number of possible outcomes when rolling a die twice.
この問題では、まず場合の数を計算する必要がある。
In this problem, you first need to calculate the number of ways.
組み合わせ refers to combinations (selection without order), a specific type of 場合の数.
Compound of 場合 (case, situation) + の (possessive particle) + 数 (number). A straightforward descriptive term for the number of cases or possibilities.