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How many permutations are there of the 11 letters in MISSISSIPPI1. taken all together?2. all the I’s not come together? |
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Answer» 1. In the word MISSISSIPPI there are 11 letters, of which S appears 4 times, I appears 4 times, P appears 2 times and the rest all are different. Therefore the total number of ways is \(\frac{11 !}{4 ! \times 4 ! \times 2 !}\)= 34650. 2. 4 I’s are kept together and should be counted as one unit, then there are 8 units. The number of ways is \(\frac{8 !}{4 \times 2 !}\) = 840. Therefore the I’s not come together = Total arrangements – 4 I’s together. = 34650 – 840 = 33810. |
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