In how many ways can 8 different dolls be packed in 5 identical gift boxes such that no box is empty if any of the boxes hold all of the toys?

1260 ways

Step-by-step explanation:

Given

From the question, we understand that: the boxes are identical; however, the dolls are different.

Since no box can be empty, the following scenario exists:

2, 2, 2, 1, 1

This means that 3 of the 5 boxes will hold 2 dolls each while the other 2 will hold 1 doll each.

 So, the number of selection is as follows:

2 of the 8 dolls will be selected in 8C2 ways

2 of the remaining 6 dolls will be selected in 6C2 ways

2 of the remaining 4 dolls will be selected in 4C2 ways

1 of the remaining 2 will be selected in 1C1 ways

1 of the remaining 1 will be selected in 1C1 ways

Since the boxes are identical, we have to divide the above expression by 2 to get the number of ways:

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.

c) yes, because of asa or aas