Ogardochristianidn
Answered

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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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