10. Combinatorics & Probability

In Exercises 9–16, use the formula for nCr to evaluate each expression. ₁₁C₄

In Exercises 1–8, use the formula for nPr to evaluate each expression. ₈P₀

In Exercises 1–8, use the formula for nPr to evaluate each expression. ₆P₆

In Exercises 1–8, use the formula for nPr to evaluate each expression. ₈P₅

In Exercises 1–8, use the formula for nPr to evaluate each expression. 9P4

In how many ways can five airplanes line up for departure on a runway?

How many different ways can a director select 4 actors from a group of 20 actors to attend a workshop on performing in rock musicals?

A club with 15 members is to choose four officers–president, vice president, secretary, and treasurer. In how many ways can these offices be filled?

Evaluate the expression. *permutation notation* the number of permutations 9 things taken 5 at a time (sub 9)P(sub 5)

Evaluate the expression. *permutation notation* the number of permutations 8 things taken 3 at a time (sub 8)P(sub 3)

In Exercises 9–16, use the formula for nCr to evaluate each expression. ₉C₅