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.

Options

A. Statement-1 is True, Statement-2 is true, Statement-2 is a correct explanation for Statement-1.
B. Statement-1 is True, Statement-2 is True, Statement-2 is not a correct explanation for Statement-1.
C. Statement-1 is True, Statement-2 is False.
D. Statement-1 is False, Statement-2 is True.

Explanation

To solve the problem, we will analyze both statements provided in the question step by step.

### Step 1: Understanding Statement 1
The expression given in Statement 1 is:
\[ \binom{40}{r} \cdot \binom{60}{0} + \binom{40}{r-1} \cdot \binom{60}{1} + \binom{40}{r-2} \cdot \binom{60}{2} + \ldots \]
This expression represents a sum of products of binomial coefficients. Each term in the expression can be interpreted as choosing \( r \) objects from a total of \( 100 \) objects (40 from one group and 60 from another).
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