A clothing manufacturer interviews 12 people for four openings in the human resources department of the company. Five of the 12 people are women. If all 12 are qualified, in how many ways can the employer fill the four positions if exactly two women are selected?

Number of ways to satisfy the condition: 10*21 = 210

Step-by-step explanation:

Given:

Total 12 peoples and 4 openings

Including 5 women and 7 men

As the condition suggest that if the exactly two women are selected, so number of ways to select two women out of 5 is

Number of ways to pick 2 women:

5C2 = (5!)/((5-2)!*2!) = 120/12 = 10

Number of ways to pick remaining 2 men:

7C2 = (7!)/((7-2)!*2!) = 5040/240 = 21

As the condition is to select four peoples , it means

Total number of ways to satisfy the problem condition: 10*21 = 210

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.