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In a three-storey building, there are four rooms on the ground floor, two on the first and two on the second floor. If the rooms are to be allotted to six persons, one person occupying one room only, the number of ways in which this can be done so that no floor remains empty is a. `"^8P_6-2(6!)` b. `"^8P_6` c. `"^8P_5(6!)` d. none of these

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CENGAGE ENGLISH-PERMUTATIONS AND COMBINATIONS-All Questions
  1. Number of permutations of 1, 2, 3, 4, 5, 6, 7, 8, and 9 taken all a...

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  2. The number of distinct natural numbers up to a maximum of four digi...

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  3. In a three-storey building, there are four rooms on the ground floo...

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  4. Find 6C2

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  5. The number of three-digit numbers having only two consecutive digit...

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  6. Number of four-digit numbers of the form N=a b c d which satisfy fo...

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  7. Find the number of ways in which 5A^(prime)s and 6B ' s can be arrange...

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  8. If N is the number of different paths of lentght-12 which leads fro...

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  9. The number of nine nonzero digits such that all the digits in the f...

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  10. Total number of words that can be formed using all letters of the w...

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  11. The total number of five-digit numbers of different digits in which ...

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  12. The number of four-digit numbers that can be made with the digits 1...

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  13. Total numbers formed less than 3xx10^8 and can be formed using the d...

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  14. If all the permutations of the letters in the word OBJECT are arran...

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  15. The total number of six-digit natural numbers that can be made with...

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  16. Total number of six-digit number in which all and only odd digits a...

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  17. Among the 8! [permutations of the digits 1, 2, 3..., 8, consider tho...

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  18. The total number of ways of selecting two numbers from the set {1,2...

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  19. The total number of times, the digit 3 will be written when the int...

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  20. The total number of divisor of 480 that are of the form 4n+2,ngeq0,...

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