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Home » \frac15v + 33 = 5v + 1 - High Altitude Science

\frac15v + 33 = 5v + 1 - High Altitude Science

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 We are to compute the number of subsets of a 6-element set with size between 2 and 5, inclusive.

📌 The number of subsets of size \( k \) is \( \binom{6}{k} \). So we compute:

📌 \binom{6}{2} + \binom{6}{3} + \binom{6}{4} + \binom{6}{5}

📌 Calculate each term:

📌 \binom{6}{2} = 15, \quad \binom{6}{3} = 20, \quad \binom{6}{4} = 15, \quad \binom{6}{5} = 6

📌 + 20 + 15 + 6 = 56

📌 Thus, the number of valid pilot selections is \(\boxed{56}\).Question: A palynologist is analyzing spherical pollen grains under a microscope. If the radius of a pollen grain is $ r $ units, what is the ratio of the surface area of the pollen grain to the surface area of a hemispherical spore with radius $ 3r $?

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