FACEBOOK Exam Numerical Ability

how many number of ways a letter QWERERTYTYUIIUYTYTREREWQ can be written when all Ts and all Us are not together.

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FACEBOOK Other Question

We know that X is an odd integer.
(1) The average of x and y is an odd integer.
(2) The average of x, y, and (y + 1) is an integer.
Is y an odd integer?