solution, please

1- In the first annual Run for the Factorial Road Race, a. If there are only 10 racers how many different nishes can there be? b. If there are only 10 racers, how many ways can 1st, 2nd, and 3rd be determined? c. If in the second year they are up to 20 Racers, how many ways can lst, 2nd, and 3rd be determined? d. If in its third year there are 30 racers and the top 2|] advance to the Permutation Parade. How many different top twenty nished are there? 2- Emilio has picked up his textbooks for the seven courses he will study this year. In how many ways can he anange them on his bookshelf if he wants to keep the French and the German texts side by side? a. 1440 b. 720 e. 240 d. 120 3- How many 4 digit numbers can be made using 0-? with no repeated digits allowed? a. 5040 b. 4536 c. 2633 d. 147'0 4- a- In how many ways can a queen he picked from a deck of cards? I)- In how many ways can a diamond be picked from a deck of cards? c- - In how many ways can either a diamond or a queen he picked from a deck of cards? 5- As an anniversary gift, a family with 4 children gives their parents a photo montage containing 5 photos, which is one famin portrait and 1 of each of the children. a- In how many ways could the photos be hung in a row on the living room wall? 13- If the family portrait must be in the middle, how many orders can the pictures he hung on the wall now