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MODERN PUBLICATION-BINOMIAL THEOREM-EXERCISE
- In the binomial expansion of (a -b)^n, nge5, the sum of the 5th and 6t...
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- The value of C (47, 4) + underset (r=1) overset (5) sum (52-r,3) is:
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- 7^9+9^7 is divisible by :
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- Find the term independent of x in the expansion of : ((x+1)/(x^(2//3)-...
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- Product of any r consecutive natural numbers is always divisible by :
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- If C0,C1,C2,........, Cn denote the coefficients in the expansion of (...
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- A polygon has 44 diagonals. The number of the sides is :
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- Find 'a' if the coefficients of x^(2) and x^(3) in the expanion of (3 ...
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- Using binomial theorem. the value of (0.999)^3,correct to 3 decimal pl...
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- The coefficient of x^n, where n is any positive integer, in the expans...
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- If ""^(2n+1)P(n-1): ""^(2n-1)Pn =3:5 then the value of n equals :
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- If|x|<1, then the coefficient of x^6 in the expansion of (1+x + x^2)^-...
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- ""^15C0.""^5C5+""^15C1.""^5C4+""^15C2.""^5C3+ ""^15C3.^5C2+""^15C4.""^...
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- Every body in a room shakes hand with every body else. The total numbe...
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- ""^15C8+""^15C9-""^15C6-""^15C7=
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- If the rth term in the expansion of (x/3-2/x^2)^10 contains x^4, then ...
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- If 5^(99) is divided by 13, the remainder is
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- The total number of terms in the expansion of (x+y)^100 after simplifi...
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- If Pm stands for ""^mPm, then : 1+1.P1+2P2+3P3+.........+nPn is equal...
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- The number of positive integers satisfying the inequality ""^(n+1)C(n-...
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