the following and show your solution Topic: combinatorics 1. From a population of 50 households, in how many ways can a researcher select a sample with a size of 10? 2. A box contains 5 red balls, 7 green balls, and 6 yellow balls. In how many ways can 6 balls be chosen if there should be 2 balls of each color? 3. From 5 Mathematics books and 6 English books, in how many ways can one select 7 books if at least 3 of it is from Mathematics books? 4. Mrs. Rivera's business is gown rental and sale. She decided one day that she would display her 10 newest gowns in her shop's window to attract customers. If she only had 5 mannequins and planned to change the set of gowns every 2 days, how many days will have to pass before she runs out of a new set to display? 5. Suppose you find 7 articles related to the topic of your research paper. In how many ways can you choose 5 articles to read