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Home » Want to Retire at 50? This Powerful Money Plan You Need Now! - Coaching Toolbox

Want to Retire at 50? This Powerful Money Plan You Need Now! - Coaching Toolbox

📅 May 5, 2026 👤 scraface

May 05, 2026

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📌 An oceanographer is studying a coral reef containing 5 distinct types of corals. In how many ways can they select and arrange 3 types of corals for a detailed study?

📌 To solve this problem, we start by selecting 3 types of corals from the 5 distinct types. The number of ways to choose 3 types from 5 is given by the combination formula:

📌 Thus, the total number of ways to select and arrange 3 types of corals is:

📌 A historian of science is organizing a seminar featuring 8 renowned scientists. In how many distinct ways can they arrange 5 of these scientists in a line on the stage?

📌 To determine the number of ways to arrange 5 scientists out of 8, we use the permutation formula since the order matters. The number of ways to arrange 5 out of 8 scientists is given by:

📌 An ichthyologist is studying a group of 10 distinct fish species. What is the probability that, when randomly selecting 4 species, exactly 2 of them are rare species if there are 3 rare species in the group?

📌 First, calculate the total number of ways to select any 4 species from 10:

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