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2. How many distinguishable permutations are possible with all
the letters of the word OLONGAPO?​


Sagot :

Answer:

Given :

n = 8

r = 3

Solution:

nPr =

[tex] \frac{8!}{3!} [/tex]

[tex] \frac{8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1}{3 \times 2 \times 1} [/tex]

[tex] \frac{40320}{6} [/tex]

[tex] = 6720[/tex]