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Convert the following products into factorial: `1. 3. 5. 7. 9 (2n-1)`

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To convert the product of the first n odd numbers, represented as \( 1 \cdot 3 \cdot 5 \cdots (2n-1) \), into factorial form, we can follow these steps: ### Step 1: Understand the Product of Odd Numbers The product of the first n odd numbers can be expressed as: \[ P = 1 \cdot 3 \cdot 5 \cdots (2n-1) \] ...
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RD SHARMA-PERMUTATIONS-Solved Examples And Exercises
  1. Convert the following products into factorial: 3.6.9.1.15.18

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  2. Convert the following products into factorial: (n+1)(n+2)(n+3).......(...

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  3. Convert the following products into factorial: 1. 3. 5. 7. 9 (2n-1)

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  4. Which of the following are true: (2+3)!=2!+3!

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  5. Which of the following are true: \ (2xx3)!=2!xx3!

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  6. Prove that: n !(n+2)=n !+(n+1)!

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  7. if(n+2)! =60[(n-1)!],find n

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  8. If (n+1)! =90[(n-1)!], fin d n

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  9. If (n+3)! =56[(n+1)! fin n

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  10. Prove that ((2n)!)/(n !)=2^n{1. 3. 5 (2n-1)}

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  11. There are 3 candidates for a classical, 5 for a Mathematical,, and 4 ...

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  12. The flag of a newly formed forum is in the form … of three blocks, eac...

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  13. Find the number of 4 letter words, with or without meaning which can b...

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  14. Given 4 flags of different colours, how many different signals can be ...

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  15. Find the number of different signals that can be generated by arrangin...

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

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  17. Find the total number of ways of answering 5 objective type questions,...

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

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  19. How many numbers are there between 100 and 1000 consists such that ...

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  20. How many numbers are there between 100 and 1000 such that 8 is the u...

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