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Evaluate: (i) \ ^5P5 (ii) \ ^(50)P3...

Evaluate: (i) `\ ^5P_5` (ii) `\ ^(50)P_3`

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RS AGGARWAL-PERMUTATIONS & COMBINATIONS-All Questions
  1. Evaluate: ((50)!)/((48)!) .

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  2. Evaluate: (i) \ ^5P5 (ii) \ ^(50)P3

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  3. Evaluate: (i) \ ^(10)C3 (ii) \ ^(100)C(98) (iii) \ ^(60)C(60)

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  4. In how many different ways can the letters of the word ‘FIGHT’ be a...

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  5. In how many different ways can the letters of the word ‘PRESENT’ be...

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  6. How many arrangements can be made out of the letters of the word ‘E...

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  7. In how many different ways can the letters of the word ‘DESIGN’ be ...

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  8. How many words can be formed form the letters of the word DAUGHTER so ...

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  9. In how many different ways can the letters of the word ‘DIRECTOR’ b...

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  10. In how many different ways can the letters of the word ‘DIGEST’ be ...

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  11. In how many different ways can the letters of the word ‘DETAIL’ be ...

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  12. In how many ways can a cricket eleven be chosen out of 14 players?

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  13. In how many ways, a committee of 6 members be selected from 7 men a...

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  14. (\ ^(75)P2-\ ^(75)C2)=? (a) 0 (b) 75 (c) 150 (d) 2775 (e) 5550

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  15. In how many different ways can the letters of the word DISPLAY be a...

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  16. In how many different ways can the letters of the word SMART be arr...

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  17. In how many different ways can the letters of the word FORMULATE be...

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  18. In how many different ways can the letters of the word GAMBLE be ar...

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  19. In how many different ways can the letters of the word RIDDLED be a...

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  20. In how many different ways can the letters of the word CREATE be ar...

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