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In how many ways can the letter of ZOOLOGY be a... - JAMB Mathematics 2022 Question

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

A

720

B

360

C

840

D

120

correct option: c

ZOOLOGY has 7 letters in total, with O repeated thrice hence,

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

= 840ways

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