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Home » The sum of the first n natural numbers is 210. Find n. - Imagemakers

The sum of the first n natural numbers is 210. Find n. - Imagemakers

📅 May 3, 2026 👤 scraface

May 03, 2026

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To solve this problem, we need to calculate the probability of selecti...
First, calculate the total number of grants:
\[ 5 + 7 + 3 = 15 \]
Next, calculate the number of ways to choose 2 AI research grants from...
\[ \binom{7}{2} = \frac{7 \times 6}{2 \times 1} = 21 \]
Then, calculate the number of ways to choose 1 public health grant fro...
\[ \binom{3}{1} = 3 \]
The number of favorable outcomes is:
\[ 21 \times 3 = 63 \]
Now, calculate the total number of ways to choose any 3 grants from 15...

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