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30. In how many of distinct permutations of the letters in the word MISSISSIPPI do the 4 I's not come together ?31. Find (a |
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Answer» MISSISSIPPI total arrangement 11!/(4!×4!×2!) = (11×9×8×7×6×5×4!)/(4!×4×3×2×1×2×1) = 11×3×7×3×5 = 3465 total ways of 4I together = 8!/(4!×2!) = (8×7×6×5×4!)/(4!×2) = 4×7×6×5 = 840 so total ways of all 4I are not together 3465-840 = 2625 |
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