We treat the captain and assistant captain as one (as if there are only 10 members). Since they can be positioned in two ways, the total numbers of ways to line up the soccer team is: \(2\times10!=7257600\)

Question

asked 2021-05-26

In how many ways can a 10-question true-false exam be answered? (Assume that no questions are omitted)

asked 2021-05-28

A glue company needs to make some glue that it can sell at $120 per barrel. It wants to use 150 barrels of glue worth $100 per barrel, along with some glue worth $150 per barrel and glue worth $190 per barrel. It must use the same number of barrels of $150 and $190 glue. How much of the $150 and $190 glue will be needed? How many barrels of $120 glue will be produced?

asked 2020-12-05

A sports team has 7 players. In how many ways can the team select a captain and junior captain?

asked 2021-05-17

How many permutations of three items can be selected from a group of six? Use the letters A,

B, C, D, E, and F to identify the items, and list each of the permutations of items B, D, and F.

B, C, D, E, and F to identify the items, and list each of the permutations of items B, D, and F.