4. Probability

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. $_9P_4$

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

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. $_{11}C_7$

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

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?