Verify that ""^(9)C(5)+""^(9)C(4)=""^(10...

Verify that `""^(9)C_(5)+""^(9)C_(4)=""^(10)C_(5)`

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The number N=""^(20)C_(7)-""^(20)C_(8)+""^(20)C_(9)-""^(20)C_(10)+….. -""^(20)C_(20) is not divisible by :

The number N=""^(20)C_(7)-""^(20)C_(8)+""^(20)C_(9)-""^(20)C_(10)+….. -""^(20)C_(20) is divisible by :

The number N=""^(20)C_(7)-""^(20)C_(8)+""^(20)C_(9)-""^(20)C_(10)+….. -""^(20)C_(20) is not divisible by :

Solve the equation ""^(11)C_(1) x^(10) - ""^(11)C_(3) x^(8) + ""^(11)C_(5) x^(6) - ""^(11)C_(7) x^(4) + ""^(11)C_(9) x^(2) - ""^(11)C_(11) = 0

""^(15)C_(0)*""^(5)C_(5)+""^(15)C_(1)*""^(5)C_(4)+""^(15)C_(2)*""^(5)C_(3)+""^(15)C_(3)*""^(5)C_(2)+""^(15)C_(4)*""^(5)C_(1) is equal to :

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

The value of |(.^(10)C_(4).^(10)C_(5).^(11)C_(m)),(.^(11)C_(6).^(11)C_(7).^(12)C_(m+2)),(.^(12)C_(8).^(12)C_(9).^(13)C_(m+4))| is equal to zero when m is

Evaluate the following: (i) .^(10)C_(5) (ii) .^(12)C_(8) (iii) .^(15)C_(12) (iv) .^(n+1)C_(n) (v) .^(14)C_(9)

Find the value of (.^(10)C_(10))+(.^(10)C_(0)+.^(10)C_(1))+(.^(10)C_(0)+.^(10)C_(1)+.^(10)C_(2))+"...."+(.^(10)C_(0)+.^(10)C_(1)+.^(10)C_(2)+"....." + .^(10)C_(9)) .

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

AAKASH INSTITUTE ENGLISH-PERMUTATIONS AND COMBINATIONS -Try Yourself

If ""^(n)C(10)=""^(n)C(13) , then find the value of ""^(n)C(2)
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Verify that ""^(9)C(5)+""^(9)C(4)=""^(10)C(5)
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