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12 identical apples are distributed amon...

12 identical apples are distributed among 6 people. The probability that at least one of them will receive none is (A) `188/221` (B) `137/143` (C) `409/442` (D) ` 33/442`

Text Solution

Verified by Experts

`SS=.^(n+r-1)C_(r-1).^17C_5`
Everyone will get 1 apple`=.^(6+6-1)C_(6-1)`
`=.^11C_5`
`P=1-(.^11C_5)/(.^17C_5)`
`=1-33/442`
`=409/442`
Option 3 is correct.
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