Substituting \(n = 6\) and \(r = 2\):
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- To determine the number of unique communication events, we need to find the number of ways to choose 2 primates out of 6 to form a communication event. This is a combination problem where we choose 2 out of 6, denoted as \(\binom{6}{2}\).
- The formula for combinations is given by:
- \binom{n}{r} = \frac{n!}{r!(n-r)!}
- \binom{6}{2} = \frac{6!}{2!(6-2)!} = \frac{6 \times 5}{2 \times 1} = 15
- Thus, the number of unique communication events in one day is \(\boxed{15}\).
- A science fair judge is evaluating projects that require arranging 5 distinct minerals into a display. How many ways can the judge choose 3 minerals to highlight sequentially?
