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Evaluate : ((n + 2)! )/ (n!)...

Evaluate : `((n + 2)! )/ (n!)`

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The correct Answer is:
`(n+1)(n+2)`
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FULL MARKS-COMBINATORICS AND MATHEMATICAL INDUCTION-ADDITIONAL QUESTIONS
  1. Evaluate : ((n + 2)! )/ (n!)

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  2. If the letter of the word 'RACHIT' are arrenged in all possible ways a...

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  3. Count the number of positive integers greater than 6000 and less than ...

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  4. Find the number of integers greater than 7000 that can be formed with ...

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  5. How many words (with or without dictionary meaning ) can be made from ...

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  6. How many automobile license plates can be made, if each plate contains...

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  7. If (n!)/(3!(n-4)! and (n!)/(5!(n-5)! are in the ratio 5:3 find the val...

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  8. How many 3-digit even numbers can be made using the digits 1,2,3,4,6,7...

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  9. If ""^(n-1)P(3): ""^(n)P(4)=1:9 find n.

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  10. Out of 18 points in a plane, no three are in the same line except five...

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  11. We wish to select 6 person from 8 but , if the person A is choosen , t...

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  12. How many 3-digit numbers can be made using digit 1,2,3,4,6,7 if no dig...

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  13. Find the number of 4-digit numbers that can be formed using the digits...

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  14. Iff ""^(5)P(r)=""^(6)P(r-1) find r.

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  15. How many words, with or without meaning , can be made from the letters...

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  16. A group consists of 4 girls and 7 boys. In how many ways can a team of...

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  17. A committee of 6 is to be choosen from 10 men and 7 women so as to con...

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  18. Using the digits 1,2,3,4,5,6,7 a number of 4 different digits is forme...

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  19. If ""^(22)P(r+1):^(20)P(r+2)=11:52, find r.

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  20. If ""^(nP(r)=""^(n)P(r+1) and ""^(n)C(r)=""^(n)C(r-1) find n and r.

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  21. A committee of 7 peoples has to be formed from 9 men and 4 women . In ...

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