Sweetygurlhidn
Answered

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Module 1/2: Illustrating the Permutation of Objects Solving Problems Involving Permutations Problem 1: How many possible arrangements of the following subjects ( FILIPINO, ENGLISH, MATH, SCIENCE)? (10 pts)​

Sagot :

KAntoineDoixidn

✒️PERMUTATIONS

[tex]••••••••••••••••••••••••••••••••••••••••••••••••••[/tex]

[tex] \large\underline{\mathbb{ANSWER}:} [/tex]

[tex] \qquad \Large \:\: \rm 24 \: possible \: ways [/tex]

*Please read and understand my solution. Don't just rely on my direct answer*

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[tex] \large\underline{\mathbb{SOLUTION}:} [/tex]

It's said to arrange all of the given subjects. Determine the number of permutations of 4 subjects taken all of the time.

[tex] \begin{align} & \bold{Formula:} \\ & \quad \boxed{\rm _nP_n = n!} \end{align} [/tex]

  • [tex] \rm _4P_4 = 4! [/tex]

  • [tex] \rm _4P_4 = 4 \cdot 3 \cdot 2 \cdot 1 [/tex]

  • [tex] \rm _4P_4 = 24 [/tex]

Therefore, there are 24 possible ways to arrange the given four subjects.

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(ノ^_^)ノ [tex] \large\qquad\qquad\qquad\tt 3/5 /2022 [/tex]

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