Q.

Words from the letters of the word PROBABILITY are  formed by taking all letters at a time. The probability thatboth B's are not together and both .I's  are not together is

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a

5255

b

5355

c

5455

d

None of these

answer is B.

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Detailed Solution

The total number of cases is 11!/2!×2!. Thenumberof  favorable cases is [11!/(2!×2!)]−9! Therefore, the required probability is 1−9!×411!=5355
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Get ₹ 1 crore* worth scholarship for JEE / NEET / Foundation
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Words from the letters of the word PROBABILITY are  formed by taking all letters at a time. The probability thatboth B's are not together and both .I's  are not together is