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Explain permutations and solve problems involving permutations.

March 29, 2026Mathematics

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Here are the solutions to the mathematics questions.

1. Permutations

Define permutation.

A permutation is an arrangement of objects in a specific order. The order in which the objects are selected or arranged matters.

$^6P_2$

Evaluate

Use the permutation formula $^nP_r = \frac{n!}{(n-r)!}$ .
$^6P_2 = \frac{6!}{(6-2)!}$
Simplify the factorials.
$^6P_2 = \frac{6!}{4!} = \frac{6 \times 5 \times 4!}{4!}$
Calculate the result.

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