nuclearhit3000
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Please help its urgent:

A bag contains one tile for each letter of the word PANDA. If you selected a permutation of these letters at random, what is the probability that they would spell the word panda?

Respuesta :

mhanifa

Answer:

  • 1/60

Step-by-step explanation:

Permutations of "Panda"

  • 5P5 = 5! = 120

Two of the 'Panda" s we can get as a result

  • P(Panda) = 2/120 = 1/60

Using Permutation

[tex]\boxed{\sf ^nP_r=n!}[/tex]

[tex]\\ \sf\longmapsto ^5P_r=5![/tex]

[tex]\\ \sf\longmapsto 1\times 2\times 3\times 4\times 5[/tex]

[tex]\\ \sf\longmapsto 120[/tex]

Now

[tex]\\ \sf\longmapsto P(Panda)=\dfrac{2}{120}[/tex]

[tex]\\ \sf\longmapsto P(Panda)=\dfrac{1}{60}[/tex]