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A room has 8 doors. In how many ways can...

A room has 8 doors. In how many ways can a man enter the room through one door and come out through a different door.

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To solve the problem of how many ways a man can enter a room through one door and come out through a different door, we can break it down into clear steps: ### Step-by-Step Solution: 1. **Identify the Total Number of Doors**: The problem states that there are 8 doors in the room. 2. **Determine the Number of Ways to Enter**: ...
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AAKASH INSTITUTE ENGLISH-PERMUTATIONS AND COMBINATIONS -Try Yourself
  1. A room has 8 doors. In how many ways can a man enter the room through ...

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  2. A hall has four entrances and five exits . In how many ways can a man ...

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  3. If a die is cast two times, then find the number of all possible outco...

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  4. A child has five pockets and seven marbles. In how many ways can the c...

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  5. Fifteen students compete in a race. In how many ways the first three p...

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  6. Find the number of ways in which five friends sit in seven vacant seat...

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  7. How many numbers are there between 10000 and 100000 such that every di...

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  8. A coin is tossed eight times and outcomes are recorded. How many possi...

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  9. From Goa to Mumbai there are 5 flights . In how many ways can Suresh g...

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  10. From Panipat to Delhi there are 10 buses. In how may ways can Pooja go...

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  11. Find the number of odd positive three digit integers.

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  12. Find the number of even positive number which have five digits.

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  13. There are 5 candidates for mathematics , 7 for science and 3 for arts ...

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  14. There are 35 students in a class in wjhich there are 22 boys and 13 gi...

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  15. How many different numbers lesser than 10000 can be formed from the d...

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  16. How many numbers can be formed with digits 3,4,6,and 8 without repetit...

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  17. Evaluate the following: (i) 6! -5! (ii) (30!)/(28!) (iii) (15!)/(...

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  18. Evaluate : (1)/(3!)+(1)/(4!)+(1)/(5!)

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  19. Convert into factorials 3.6.9.12.15.18.21

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  20. Convert into factorials : 2.4.6.8.10.12……..50

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