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Home » Solution: We find $ \gcd(72, 108, 180) $. - Nelissen Grade advocaten

Solution: We find $ \gcd(72, 108, 180) $. - Nelissen Grade advocaten

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Probability of drawing exactly 2 red marbles:

📌 The probability is the ratio of favorable outcomes to the total outcomes:

📌 \frac{588}{1365} = \frac{28}{65}

📌 Thus, the probability that exactly two of the drawn marbles are red is \(\boxed{\frac{28}{65}}\).

📌 Question:** In a group of 10 people, how many ways can you form a committee of 4 members if two specific individuals must be included?

📌 To solve this problem, we consider the constraints and use combinations to count the number of valid committees.

📌 Include the two specific individuals:

📌 Since two specific individuals must be included in the committee, we have already selected 2 out of the 4 members.

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An urban forestry researcher photographs trees in a grid of 4 rows and...
Total number of 1×1 grid positions: \( 4 \times 3 = 12 \).
Number of ways to choose 3 distinct positions: \( \binom{12}{3} = \fra...
Now, favorable outcomes: all 3 positions in different rows.
There are 4 rows, choose 3 distinct rows: \( \binom{4}{3} = 4 \).
Each chosen row has 3 columns, so for each row, pick 1 position: \( 3...
But this counts selections per row order — since we are selecting unor...
So, number of favorable selections:
\binom{4}{3} \times 3^3 = 4 \times 27 = 108
Thus, probability:

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