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How many different words can be forme...

How many different words can be formed by jumbling the letters in the word MISSISSIPPI in which no two S are adjacent? (1) `8""dot^6C_4dot^7C_4` (2) `6""dot""7""dot^8C_4` (3) `6""dot""8""dot^7C_4` (4) `7""dot^6C_4dot^8C_4`

Text Solution

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11 L`->`4I,4S,2P,1M
`=> .^8C_4*(7!)/(4!*2!)`
`= .^8C_4 *(7 xx 6!)/(4!*2!)`
`= .^8C_4 .^6C_4 xx 7`
option 4 is correct
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