Question

Evaluate the given expression: 10c4 * 4c2 * a. What is the value of the expression?

1) 1,260
2) 1,275
3) 1,278
4) 1,270

Answer 1

The expression 10c4 * 4c2 * a involves binomial coefficients which can be calculated using factorials. Without knowing the value of the variable a, we cannot evaluate this to a numerical value.

Step-by-step explanation:

The expression given is 10c4 * 4c2 * a. To evaluate this expression, we first need to understand what 10c4 and 4c2 represent. These are binomial coefficients which stand for the number of combinations of 10 items taken 4 at a time and 4 items taken 2 at a time, respectively. They can be calculated using factorials as follows:

10c4 = 10! / (4! * (10 - 4)!) = 210

4c2 = 4! / (2! * (4 - 2)!) = 6

Now we can calculate the product of these two coefficients multiplied by the variable a:

10c4 * 4c2 * a = 210 * 6 * a

Since we do not have the value of a, we cannot evaluate this expression to a numerical value without more information about a.