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How many different words can be formed w...

How many different words can be formed with the letters o the word MISSISSIPPI? In how many of these permutations four Is do not come together?

Text Solution

Verified by Experts

as we know that
`M= 1`
`I = 4`
`S= 4`
`P=2`
total `= 11!/(4!*4!*2!) = (11*10*9*8*7*6*5)/(4*3*2*2)= 34650`
when Is are together `= 8!/(4!*2!)`
`=(8*7*6*5)/2= 28*30= 840`
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