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Home » True or False? These 5 Questions Prove 90% of What You Think You Know! - Leaselab

True or False? These 5 Questions Prove 90% of What You Think You Know! - Leaselab

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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Question: Chase has 5 kiwis, 4 passionfruits, and 3 jackfruits. If he...
Solution: This is a multinomial coefficient problem. We are arranging...
5 are kiwis (K),
4 are passionfruits (P),
3 are jackfruits (J),
with indistinguishability within types.
The number of distinct sequences is:
\frac{12!}{5! \cdot 4! \cdot 3!}
$ 12! = 479001600 $
$ 5! = 120 $, $ 4! = 24 $, $ 3! = 6 $

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Now subtract: (5a + b) − (3a + b) = 0.7 − 0.6 → 2a = 0.1 → a = 0.05
Then 3(0.05) + b = 0.6 → 0.15 + b = 0.6 → b = 0.45
Then a + b + c = 1.2 → 0.05 + 0.45 + c = 1.2 → c = 0.7
So aₙ = 0.05n² + 0.45n + 0.7
a₄ = 0.05(16) + 0.45(4) + 0.7 = 0.8 + 1.8 + 0.7 = <<0.8+1.8+0.7=3.3>>3...
Total retreat after 4 years = sum of first 4 terms:
a₁ = 1.2, a₂ = 1.8, a₃ = 2.5, a₄ = 3.3 → 1.2 + 1.8 + 2.5 + 3.3 = <<1.2...
#### 8.8
A public health study finds that in a community of 5,000 adults, 60% a...
Overweight adults: 5,000 × 0.60 = <<5000*0.60=3000>>3,000

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