Sign In
Calculate _(12)C_(10).
Calculate _9C_7.
66
36
Since we want to determine the number of combinations we can answer on our exam, we must use the following formula.
n= 12, r= 10
Subtract term
Write as a product
Cancel out common factors
Simplify quotient
2!=2
Multiply
Calculate quotient
There are 66 ways we can pick 10 questions.
Next, push the MATH button, scroll to PRB, and choose the third option. We finish by entering the number of questions we want to answer.
This time, the first three questions are mandatory. This means we want to calculate the number of combinations we can choose of 7 questions from a set of 9. Similarly as in Part A, we get the following result.
When the first three exercises are mandatory, there are 36 different ways we can pick the remaining 7 questions.