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Question:
In how many ways can the letters of the word ORIENTAL be arranged so that E and T always occupy odd places
Answer:

Given Word is: ORIENTAL

Total odd place = 4

Total number of ways = 4C2 * 2!*6!

                              = 6*2*720

                              = 12*720

                              = 8640

So, total number of ways we can arrange the letters of the word ORIENTAL be arranged so that E and T always occupy odd places is 8650

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