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r का वह मान जिसके लिए ""^(20)C(r )""^(20...

r का वह मान जिसके लिए `""^(20)C_(r )""^(20)C_(0) + ""^(20)C_(r-1)""^(20)C_(1) + ""^(20)C_(r-2) ""^(20)C_(2) + …+ ""^(20)C_(0) ""^(20)C_(r)` अधिकतम है , है

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(""^(20)C_(1))/(""^(20)C_(0))+2.(""^(20)C_(2))/(""^(20)C_(1))+3.(""^(20)C_(3))/(""^(20)C_(2)) +…20.(""^(20)C_(20))/(""^(20)C_(19)) =210

The sum of series: ""^(20)C_(0)-""^(20)C_(1)+""^(20)C_(2)-""^(20)C_(3)+ . . . +""^(20)C_(10) is:

The value of r for which .^(20)C_(r ). ^(20)C_(0)+ .^(20)C_(r - 1) .^(20)C_(1) + .^(20)C_(r - 2).^(20)C_(2) + …… + .^(20)C_(0) .^(20)C_(r ) is maximum, is

""^(20)C_(0)-(""^(20)C_(1))/(2)+(""^(20)C_(2))/(3)-(""^(20)C_(3))/(4)+....

The sum ""^(20)C_(0)+""^(20)C_(1)+""^(20)C_(2)+……+""^(20)C_(10) is equal to :

The sum ""^(20)C_(0)+""^(20)C_(1)+""^(20)C_(2)+……+""^(20)C_(10) is equal to :