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In a cinema hall, there are three entran...

In a cinema hall, there are three entrance doors and two exit doors. In how many ways can a person enter the hall and then come out?

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To solve the problem of how many ways a person can enter and exit a cinema hall with three entrance doors and two exit doors, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Entrance Doors**: There are three entrance doors available for a person to enter the cinema hall. Let's label them as D1, D2, and D3. 2. **Identify the Exit Doors**: ...
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RS AGGARWAL-PERMUTATIONS-ILLUSTRATIVE EXAMPLES
  1. In a cinema hall, there are three entrance doors and two exit doors. I...

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  2. Three persons enter a railway carriage, where there are 5 vacant seats...

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  3. The flag of a newly formed forum is in the form square square square o...

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  4. There are 4 routes between Delhi and Patna. In how many different ways...

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  5. There are six multiple - choice questions in an examination. Find the ...

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  6. Four flags of different colours are given. How many different signals ...

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  7. Find the number of 4-letter words. with or without meaning, which can ...

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  8. How many words (with or without meaning) of three distinct letters of ...

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  9. How many numbers are there between 100 and 1000 in which all the digit...

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  10. How many 9-digit numbers of different digits can be formed?

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  11. How many numbers between 2000 and 3000 can be formed from the digits 2...

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  12. How many 3-digit odd numbers can be formed by using the digits 1, 2, 3...

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  13. How many odd numbers less than 1000 can be formed by using the digits ...

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  14. How many numbers are there between 100 and 1000 such that 7 is in the ...

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  15. How many numbers are there between 100 and 1000 such that at least one...

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  16. How many numbers are there between 100 and 1000, which have exactly o...

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  17. How many numbers are there between 100 and 1000 such that every digit...

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  18. How many three digit numbers can be formed without using the digits ...

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  19. In how many ways can 8 students be arranged in (i) a line, (ii...

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  20. If 20 persons were invited for a party, in how many ways can they and ...

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