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Threre are 9 red,7 white and 4 black balls in an urn. In how many different ways can the letters of the word RUMOUR be arranged ?

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Threre are 9 red,7 white and 4 black balls in an urn. In how many different ways can the letters of the word RUMOUR be arranged ? A. 180 B. 720 C. 30 D. 90 Select the correct answer from above options

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Correct Answer - B The word RUMOUR consists of 6 letters in which each of R and U comes twice . ⇒ Number of arrangements = 6! 2!2! = 6×5×4×3×2×1 2×2 =180

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