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If 5 xx 4Pr = 6 xx 5P(r-1) find 'r'....

If `5 xx 4P_r = 6 xx 5P_(r-1)` find 'r'.

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A N EXCEL PUBLICATION-PERMUTATIONS AND COMBINATIONS-QUESTION BANK
  1. In a class there are 25 boys and 10 girls. The teacher wants to select...

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  2. Given that p(n,r)=(n!)/((n-r)!) What are the values of P(5, r) and P(6...

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  3. If 5 xx 4Pr = 6 xx 5P(r-1) find 'r'.

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  4. Given that P(n, r)=n(n-1)(n-2)….to r factors What are the values of P(...

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

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

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

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

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

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

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