Ogardochristianidn
Answered

IDNStudy.com, kung saan ang iyong mga tanong ay natutugunan ng mabilis na sagot. Alamin ang mga detalyadong sagot sa iyong mga tanong mula sa aming malawak na kaalaman sa mga eksperto.

Evaluate the following. Show your solution
1. P(10, 5)
2.0!
3. P(11, 11)


pa help Naman po kailangan ko na po kac​

Sagot :

KAntoineDoixidn

PERMUTATIONS

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Formula:

[tex] : \: \implies \sf \large P(n, r) = \Large \frac{n!}{(n-r)!} [/tex]

#1

[tex]\implies \sf \large P(10, 5) = \Large \frac{10!}{(10-5)!} [/tex]

[tex]\implies \sf \large P(10, 5) = \Large \frac{10!}{5!} [/tex]

[tex]\implies \sf \large P(10, 5) = 10 \times 9 \times 8 \times 7 \times 6[/tex]

[tex]\implies \sf \large \purple{ P(10, 5) = 30240} \\ \\ [/tex]

#2

[tex]\implies \sf \large \purple{0! = 1} \\ \\ [/tex]

#3

[tex]\implies \sf \large P(11, 11) = \Large \frac{11!}{(11-11)!} [/tex]

[tex]\implies \sf \large P(11, 11) = \Large \frac{11!}{0!} [/tex]

[tex]\implies \sf \large P(11, 11) = \Large \frac{11!}{1} [/tex]

[tex]\implies \sf \large P(11, 11) = 11![/tex]

[tex]\implies \sf \large \purple{ P(11, 11) =39916800}[/tex]

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