Find the value of `sumsum_(0lt=i

(1+x)=C_(0)+C_(1)x+….+C_(n)x^(n) then the value of sumsum_(0lerltslen)C_(r)C_(s) is equal to :

If (1+x)^(n)=C_(0)+C_(1)x+C_(2)x^(2)+….+C_(n)x^(n) , then the value of sumsum_(0lerltslen)(r+s)(C_(r)+C_(s)) is :

If (1+x)^(n)=C_(0)+C_(1)x+C_(2)x^(2)+…..+C_(n)x^(n) , then the value of sumsum_(0lerltslen)(r*s)C_(r)C_(s) is :

If (1+x)^(n)=C_(0)+C_(1)x+C_(2)x^(2)+….+C_(n)x^(n) , then the value of sumsum_(0lerltslen)(C_(r)+C_(s))^(2) is :

If (1+x)^(n)=C_(0)+C_(1)x+C_(2)x^(2)+….+C_(n)x^(n) , then the value of sumsum_(0lerltslen)(r+s)(C_(r)+C_(s)+C_(r)C_(s)) is :

Find the value of a(0 lt a lt 1) for which the following definite integral is minimized. int_(0)^(pi) |sinx-ax| dx