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MODERN PUBLICATION-BINOMIAL THEOREM-EXERCISE
- At an election, a voter may vote for any number of candidates not grea...
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- For natural numbers m ,n ,if(1-y)^m(1+y)^n=1+a1y+a2y^2+... , and a1=a2...
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- The letters of the word COCHIN are permuted and all the permutations a...
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- The sum of series .^(20)C0-^(20)C1+^(20)C2-^(20)C3+....+^(20)C 10 is
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- In the binomial expansion of (a -b)^n, nge5, the sum of the 5th and 6t...
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- How many different words can be formed by jumbling the letters of the ...
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- The number of 7-digit integers, with sum of the digits equal to 10 and...
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- The remainder left out when 8^(2n) - (62)^(2n +1) is divided by 9 , i...
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- From 6 different novels and 5 different dictionaries, 4 novels and 1 d...
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- There are two urns. Urn A has 4 distinct red balls and urn B has 5 dis...
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- There are 10 points in a plane, out of these 6 are collinear. If N is ...
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- For r = 0 ,1,2,…, 10 , letA(r), B(r) "and " C(r) denote respectively ,...
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- The coefficient of x^(7) in the expansion of (1 - x- x^(2) + x^(3...
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- Find the number of ways in which five identical balls can be distribut...
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- A committee of 12 is to be formed from nine women and eight men. In ho...
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- A committee of 12 is to be formed from nine women and eight men. In ho...
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- A question paper consists of two sections having respectively 3 and 4 ...
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- Let R =(5 sqrt5+11)^(2n+1) and and f=R-[R], where [ ] denotes the grea...
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- Give that : C1+2C2 x+3C3 x^2+.....+2n. C(2n). x^(2n-1)=2n(1+x)^(2n-1)...
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- Prove that underset(r=1)overset(k)sum(-3)^(r-1) .^(3n)C(2r-1) = 0 , wh...
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