### Step 1: Total number of ways to choose 3 experts from 15:

February 22, 2026

### Step 1: Total number of ways to choose 3 experts from 15:

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Question: A historian of science is organizing a panel with 3 experts selected from a list of 6 historians, 5 scientists, and 4 physicians. What is the probability that the panel includes at least one expert from each profession?
We are selecting 3 experts from a total of $ 6 + 5 + 4 = 15 $ professionals.
We want the probability that the 3 selected include **at least one historian, one scientist, and one physician**.
\text{Total ways} = \binom{15}{3} = 455
### Step 2: Favorable outcomes — at least one from each profession
To satisfy at least one from each profession, we must have **1 historian, 1 scientist, and 1 physician**.

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