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


Sagot :

Answer:

Given :

n = 8 (total letters consist of the eor OLONGAPO)

r = 3(total letters(O) with repetition)

Solution :

nPr = 8!

3!

[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]

Therefore there are 6,720 permutation