Question

Use a calculator to evaluate 30 C1130 C11(Simplify your answer. Type an integer or a fraction.)

Answer 1

30C11 refers to:

`30C11=(30!)/(11!(30-11)!)`

Then,

`\begin{gathered} 30C11=(30!)/(11!(30-11)!) \\ =(30!)/(11!\cdot19!)=(30\cdot29\cdot28\cdot27\cdot26\cdot25\cdot24\cdot23\cdot22\cdot21\cdot20)/(11!) \\ =64627300 \end{gathered}`

Remember that, if n is a natural number:

`n!=1\cdot2\cdot3\cdot\ldots\cdot n`

Therefore, the answer is 54627300