If q,b,c,d are positive real numbers such that a+b+c+d=2,then M=(a+b)(c+d) satisfies the relation (A)0<= M<=1 (B)1<=M<=2(C)2<=M<=3(D)3<=M<=4

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Sum of series 2[n/2] ! [n/2]!/ n! [2Co-2C2+3C2....+[-1]^n[n+1]2Cn] where n is an even positive integer. Kindly provide solution of this question and how to generalise this. How do we know that which expansion will give this?