Evaluate the given expression and express the result using the usual format for writing numbers (instead of scientific notation).
${ }_{46} \mathrm{C}_{2}$
\[
{ }_{46} C_{2}=
\]

Answer

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Answer

Final Answer: $\boxed{1035}$

Steps

Step 1 ：The given expression is a combination, which is a way of selecting items from a larger set. In this case, we are selecting 2 items from a set of 46.

Step 2 ：The formula for a combination is: $C(n, k) = \frac{n!}{k!(n-k)!}$, where n is the total number of items, k is the number of items to select, and '!' denotes factorial, which is the product of all positive integers up to that number.

Step 3 ：So, to solve this problem, we need to calculate: $C(46, 2) = \frac{46!}{2!(46-2)!}$

Step 4 ：Final Answer: $\boxed{1035}$

Evaluate the given expression and express the result using the usual format for writing numbers (instead of scientific notation).${ }_{46} \mathrm{C}_{2}$\[{ }_{46} C_{2}=\]

Answer

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Evaluate the given expression and express the result using the usual format for writing numbers (instead of scientific notation).
${ }_{46} \mathrm{C}_{2}$
\[
{ }_{46} C_{2}=
\]