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Suppose that six students, including Mad...

Suppose that six students, including Madhu and Puja, are having six beds arranged in a row. Further, suppose that Mudhu does not want a bed adjacent to Puja. Then the number of ways, the beds can be allotted to students is

A

384

B

264

C

480

D

600

Text Solution

Verified by Experts

Six students, including Madhu and Puja, can be adjusted on six beds in 6! ways. Puja and Madhu can be adjusted on two adjacent beds in 2! ways. Considering these adjacent beds as one and the remaining 4 beds can be arranged beds in `5!xx2!` ways.
Hence, Number of ways in which Puja and Madhu are not on adjacent beds `=6!-5!xx2!""=480`.
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OBJECTIVE RD SHARMA ENGLISH-PERMUTATIONS AND COMBINATIONS-Chapter Test
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  4. 12 persons are to be arranged to a round table. If two particular pers...

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  5. The number of committees of 5 persons consisting of at least one femal...

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  6. The number of ways in which a team of eleven players can be selected f...

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  7. In a football championship, 153 matches were played. Every two-team pl...

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  8. How many numbers between 5000 and 10,000 can be formed using the digit...

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  9. If x, y and r are positive integers, then ""^(x)C(r)+""^(x)C(r-1)+""^(...

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  10. In how many ways can 5 red and 4 white balls be drawn from a bag conta...

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  11. All the letters of the word 'EAMCET' are arranged in all possible ways...

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  12. There are 10 lamps in a hall. Each one of them can be switched on i...

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  13. How many 10-digit numbers can be formed by using digits 1 and 2

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  14. The straight lines I(1),I(2),I(3) are parallel and lie in the same pla...

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  15. about to only mathematics

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  16. The number of diagonals that can be drawn by joining the vertices of a...

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  17. The sum of the digits in unit place of all the numbers formed with the...

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  18. In an examinations there are three multiple choice questions and each ...

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  19. There are 10 points in a plane, out of these 6 are collinear. If N is ...

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  20. Ramesh has 6 friends. In how many ways can be invite one or more of th...

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  21. If Pm stands for ^m Pm , then prove that: 1+1. P1+2. P2+3. P3++ndotPn=...

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