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How many new arrangements can be made using all the letters of the word TUESDAY?

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How many new arrangements can be made using all the letters of the word TUESDAY?

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Using 7 letters of the word, total number of arrangement TUESDAY

= 7P7

= 7! = 7 × 6 × 5 × 4 × 3 × 2 × 1

= 5040

∴ New arrangements

= 5040 – 1 (Given arrangement TUESDAY)

= 5039

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