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Find the number of ways so that letters ...

Find the number of ways so that letters of the word HISTORY can be arranged as, (a) Y and T are together (b) Y is next to T. (c) there is no restriction (d) begin and end with vowel (e) end in ST (f) begin with S and end with T

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The correct Answer is:
a) 1440, b) 720, c) `7!`, d) 240, e) 120, f) 120
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