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If ^9p5+5^9p4=^10pr.prove that r=5...

If `^9p_5+5^9p_4=^10p_r`.prove that r=5

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A N EXCEL PUBLICATION-PERMUTATIONS AND COMBINATIONS-QUESTION BANK
  1. Given that P(n, r)=n(n-1)(n-2)….to r factors If P(n, 4) = 20 P(n, 2),...

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  2. Prove that ^9p5+5^9p4=(10!)/(5!)

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  3. If ^9p5+5^9p4=^10pr.prove that r=5

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  4. Prove that ""^(2n+1)P(n-1)=((2n+1)!)/((n+2)!) and ""^(2n-1)Pn=((2n-1)...

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  5. if ^(2n+1)p(n-1):^(2n-1)pn=3:5, prove that n = 4

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  6. In how many ways ‘n’ objects can be arranged together in a line?

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  7. For a group photograph, 3 boys and 2 girls stand in a line in all poss...

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  8. Consider the word ‘LOGARITHMS' How many distinct letters are there in ...

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  9. Consider the word ‘LOGARITHMS' How many 4 letter words, with or withou...

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  10. Consider the word ‘LOGARITHMS' How many 4 letter words, with or withou...

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  11. Consider the word ‘RESHMA’ How many distinct letters are there in the...

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  12. Consider the word ‘RESHMA’ How many vowels are there in the given wor...

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  13. Consider the word ‘RESHMA’ How many different words can be formed usi...

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  14. Consider the word ‘RESHMA’ How many different words can be formed usin...

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  15. Consider the word ‘RESHMA’ How many different words can be formed usin...

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  16. In a certain city, all telephone numbers have six digits How many tele...

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  17. In a certain city, all telephone numbers have six digits If repetition...

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  18. In a certain city, all telephone numbers have six digits How many tele...

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  19. Suppose that words are formed by permuting all the letters of the word...

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  20. Suppose that words are formed by permuting all the letters of the word...

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