Afamily of five is taking an extended vacation. every day at lunch they stand in line at a cafeteria in a different order than ever before. on the last day, however, they can't repeating a previous order. their vacation lasted

Their vacation lasted 121 days.

Step-by-step explanation:

Consider the provided information.

A family of five is taking an extended vacation. Every day at lunch they stand in line at a cafeteria in a different order than ever before.

Therefore, the number of possible ways are:

On the last day, however, they can't help repeating a previous order.

That means on the last day they repeat the previous order.

Therefore the total number of ways are:

Hence, their vacation lasted 121 days.

answer: there are x+184 pages in olivia's book.

step-by-step explanation:

let the total number of pages in the book which olive has already read be x.

then if olive has 184 pages left to read, then the total number of pages are in olive's book= pages she has read+pages she has left to read

therefore, the total number of pages in olivia's book=

hence, there are x+184 pages in olivia's book.