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The sum 2 xx .^(40)C(2) + 6 xx .^(40)C(3...

The sum `2 xx .^(40)C_(2) + 6 xx .^(40)C_(3) + 12 xx .^(40)C_(4) + 20 xx .^(40)C_(5) + "…." + 1560 xx .^(40)C_(40)` is divisible by

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The value of .^(40)C_(0) xx .^(100)C_(40) - .^(40)C_(1) xx .^(99)C_(40) + .^(40)C_(2) xx .^(98)C_(40) "……." + .^(40)C_(40) xx .^(60)C_(40) is equal to "____" .

The value of ""^(40)C_(0) xx ""^(100)C_(40) _ ""^(40)C_(1) xx ""^(99)C_(40) + ""^(40)C_(2) xx ""^(98)C_(40) -"……." + ""^(40)C_(40) xx ""^(60)C_(40) is equal to "____" .

The sum ""^(40)C_(0) + ""^(40)C_(1)+""^(40)C_(2)+…+""^(40)C_(20) is equal to

The sum ""^(40)C_(0) + ""^(40)C_(1)+""^(40)C_(2)+…+""^(40)C_(20) is equal to

The value of .^(40)C_0+.^40C_1 + .^40C_2 + + .^40C_20

Statement-1: The expression ""^(40)C_(r)xx""^(60)C_(0)+""^(40)C_(r-1)xx""^(60)C_(1)+""^(40)C_(r-2)xx""^(60)C_(2)+.... attains its maximum volue when r = 50 Statement-2: ""^(2n)C_(r) is maximum when r=n.

Statement-1: The expression ""^(40)C_(r)xx""^(60)C_(0)+""^(40)C_(r-1)xx""^(60)C_(1)+""^(40)C_(r-2)xx""^(60)C_(2)+.... attains its maximum volue when r = 50 Statement-2: ""^(2n)C_(r) is maximum when r=n.