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Home » How This Miniature Wheat Variety Is Revolutionizing Small-Scale Farming! - Crankk.io

How This Miniature Wheat Variety Is Revolutionizing Small-Scale Farming! - Crankk.io

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 We need to count the number of ways to choose 3 researchers from 8 seismologists and 6 historians such that at least one is a seismologist and at least one is a historian.

📌 Total ways to choose 3 researchers from 14 (8 + 6) without restriction:

📌 \binom{14}{3} = \frac{14 \times 13 \times 12}{3 \times 2 \times 1} = 364

📌 Now subtract the invalid teams:

📌 Teams with only seismologists: \(\binom{8}{3} = \frac{8 \times 7 \times 6}{6} = 56\)

📌 Teams with only historians: \(\binom{6}{3} = \frac{6 \times 5 \times 4}{6} = 20\)

📌 So, valid teams = Total − (only seismologists) − (only historians):

📌 - 56 - 20 = 288

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Speed increase means time is reduced to 100% - 40% = 60% of original
New time = 60% of 2.5 = 0.6 Ã 2.5 = <<0.6*2.5=1.5>>1.5 seconds
A seismic wave splits into two components, traveling at 5.8 km/s and 7...
Let distance = d
Time for fast wave: d / 7.2
Time for slow wave: d / 5.8
Difference: d/5.8 - d/7.2 = 10
Find common denominator: (7.2d - 5.8d) / (5.8 Ã 7.2) = 10
1.4d = 417.6
d = 417.6 / 1.4 = <<417.6/1.4=298.2857142857143>>298.29 km (rounded to...

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