Evaluate : .^(20)C(5)+sum(j=2)^(5).^(25-...

Evaluate : `.^(20)C_(5)+sum_(j=2)^(5).^(25-j)C_(4)`

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Evaluate :. .^47C_4 + sum_(j = 0)^3 .^(50-j)C_3 + sum_(k = 0)^5 .^(56 - k)C_(53 - k)

The value of expression .^47 C_4+sum_(j=1)^5.^(52-j)C_3 is equal to a. .^47 C_5 b. .^52 C_5 c. .^52 C_4 d. none of these

If a= .^(20)C_(0) + .^(20)C_(3) + .^(20)C_(6) + .^(20)C_(9) + "…..", b = .^(20)C_(1) + .^(20)C_(4) + .^(20)C_(7) + "……"' and c = .^(20)C_(2) + .^(20)C_(5) + .^(20)C_(8) + "…..", then Value of a^(3) + b^(3) + c^(3) - 3abc is

The value of the expression .^47C_4 + sum_(j = 1)^5 .^(52 - j)C_3 is equal to

Let S_(1) = sum_(j=1)^(10) j(j-1).""^(10)C_(j), S_(2) = sum_(j=1)^(10)j.""^(10)C_(j) , and S_(3) = sum_(j=1)^(10) j^(2).""^(10)C_(j) . Statement 1 : S_(3) = 55 xx 2^(9) . Statement 2 : S_(1) = 90 xx 2^(8) and S_(2) = 10 xx 2^(8) .

If a= ^(20)C_(0) + ^(20)C_(3) + ^(20)C_(6) + ^(20)C_(9) + "…..", b = ^(20)C_(1) + ^(20)C_(4) + ^(20)C_(7) + "… and c = ^(20)C_(2) + ^(20)C_(5) + ^(20)C_(8) + "…..", then Value of (a-b)^(2) + (b-c)^(2) + (c-a)^(2) is

Find the sum sum_(r=0)^(5)""^(32)C_(6r) .

Find the sum sum_(k=0)^(10).^(20)C_k .

The value of sum_(0leiltjle5) sum(""^(5)C_(j))(""^(j)C_(i)) is equal to "_____"

Find the value of n in each of the following cases : if .^(20)C_(3n)=^(20)C_(2n+5)

CHHAYA PUBLICATION-PERMUTATION AND COMBINATION -EXERCISE 7B ( Short Answer Type Questions )

If the number of permutations of n different things taken r at time be...
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For n in N , Prove that (n+1)[n!n+(n-1)!(2n-1)+(n-2)!(n-1)]=(n+2)!
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If 20 straight lines be drawn in a plane , no two of them being parall...
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If 10 parallel lines in a plane are intersected by a family of anothe...
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There are 15 points in a plane of which 4 points lie in one stright li...
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