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In how many ways can the letter of ZOOLOGY be arranged?

In how many ways can the letter of ZOOLOGY be arranged?

A.

720

B.

360

C.

840

D.

120

View answer & explanation

Correct answer is C

Zoology has 7 letters in total, with O repeated thrice

\(\frac{7!}{3!}\) → \(\frac{7*6*5*4*3*2*1}{3*2*1}\)

= 840ways

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