4. Probability

A student formed a club at their school. They have 13 members, and need to elect a president, vice president, and treasurer. How many ways are there to fill these officer positions?

Emily is organizing her closet. She has 15 shirts left to hang but has space in one section for 6 shirts. How many ways could she hang shirts in that section?

Evaluate the given expression. $_{11}C_7$

From a class of 28 students, in how many ways could a teacher select 4 students to lead the class discussion?

How many ways are there to arrange the letters in the word CALCULUS?

You want to arrange the books on your bookshelf by color. How many different ways could you arrange 12 books if 4 of them have a blue cover, 3 are yellow, and 5 are white?

Evaluate the given expression. $_9P_4$