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Home » Can You Name All Words Ending in ‘J’? This Hidden Vocabulary Shocked Us! - Midis

Can You Name All Words Ending in ‘J’? This Hidden Vocabulary Shocked Us! - Midis

📅 March 12, 2026 👤 scraface

Mar 12, 2026

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📌 An angel investor is evaluating 8 early-stage biotech startups. In how many ways can she choose 3 startups to receive initial funding if the order of selection does not matter?

📌 To solve this, we need to calculate the number of combinations of 8 startups taken 3 at a time. This is given by the combination formula:

📌 Substituting \( n = 8 \) and \( r = 3 \):

📌 \binom{8}{3} = \frac{8!}{3!(8-3)!} = \frac{8 \times 7 \times 6}{3 \times 2 \times 1} = \frac{336}{6} = 56

📌 Thus, there are 56 ways to choose 3 startups from 8.

📌 \boxed{56}

📌 An urban forestry researcher is analyzing tree species in a park with 4 distinct types of trees. If each tree can be either healthy or unhealthy, how many different health status combinations are possible across a row of 5 trees?

📌 Each tree has 2 possible states: healthy or unhealthy. Since there are 5 trees and each tree's status is independent, the total number of combinations is:

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Let width = \(w\), length = \(2w + 3\)
Perimeter = \(2(w + 2w + 3) = 54\)
\(2(3w + 3) = 54 \Rightarrow 6w + 6 = 54 \Rightarrow 6w = 48 \Rightarr...
Area = \(8 \times 19 = 152\) m²
#### 152 m²
The sum of the digits of a two-digit number is 9. If the digits are re...
Let number = \(10a + b\), \(a + b = 9\)
Reversed: \(10b + a\), and \(10a + b - (10b + a) = 27\)
\(9a - 9b = 27 \Rightarrow a - b = 3\)
Solve: \(a + b = 9\), \(a - b = 3\) → add: \(2a = 12 \Rightarrow a = 6...

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