Question

1. Determine the value of 12C5 using the combinations function of the calculator.

Answer 1

Step-by-step explanation:

The combination formula is given in the following way: for n ≥ r ≥ 0, we set:

`C(n,r)=_nC_r\text{ =}(n!)/(r!(n-r)!)`

The formula shows us the number of ways of picking r unordered outcomes from n possibilities. Then, to find C(12,5) we can apply the above formula as follows:

`C(12,5)=_(12)C_5\text{ =}(12!)/(5!(12-5)!)=\frac{12!}{5!\text{ x 7!}}=792`

we can conclude that the correct answer is:

Answer:
`792`