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MODERN PUBLICATION-PERMUTATIONS AND COMBINATIONS -EXERCISE 7 (h) Short Answer Type Questions
- Evaluate (i) ""^(10)C(4)+""^(10)C(5) (ii) ""^(13)C(6)+ ""^(...
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- Evaluate (i) ""^(61)C(57)- ""^(60)C(56) (ii) ""^(31)C(26)-...
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- ^8C4+^8C3=^9C4
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- (i) If ""^(n)C(8)= ""^(n)C(2), find ""^(n)C(2). (ii) If ""^(n...
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- Verify that if 2xx ""^(7)C(4)= ""^(17)C(8).
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- Prove that 1+""^(3)C(1)+ ""^(4)C(2)= ""^(5)C(3).
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- (i) If ""^(2n)C(3) : ""^(n)C(3)= 11 : 1, find n. (ii) If ""^(2...
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- ^n Cr :^n C(r+1)=1:2and^n C(r+1):^n C(r+2)=2:3,f i n dnandr
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- If ""^(n-1)C(r ): ""^(n)C(r ): ""^(n+1)C(r )=6:9:13, find 'n' and '...
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- Prove that ""^(n)C(r )+2""^(n)C(r-1)+ ""^(n)C(r-2)= ""^(n+2)C(r ).
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- Prove that ""^(n)P(r )= ""^(n)C(r )*^rP(r ).
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- Prove that ""^(n)C(r ) ""^(r ) C(s)= ""^(n)C(s) ""^(n-s)C(r-s)
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- Prove that the product of any 'k' consecutive integers is divisible by...
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- In a certain city, all telephone numbers have six digits, the first tw...
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- Prove that .^(n-1)C(3)+.^(n-1)C(4) gt .^(n)C(3) if n gt 7.
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- Verify that ""^(n)C(r )=(n)/(r ) ""^(n-1)C(r-1) where n=6 and r=3.
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- If n C4,^n C5 and ^n C6 are in AP, then n is
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