### Home > INT2 > Chapter 12 > Lesson 12.2.4 > Problem12-131

12-131.

Twelve students will be chosen at random from the $900$ students at Rolling Meadows High School to serve as the Judicial Board for minor student infractions.

1. How many different Judicial Boards are possible?

$_{900}C_{12}\approx 5.48 \cdot 10^{26}$

2. Mariko hopes to be on the board. How many possible boards include her?

$_{899}C_{11}\approx 7.30 \cdot 10^{24}$

3. What is the probability (in percent) that Mariko is chosen for the board?

Divide the number of boards containing Mariko by the number of possible boards.