If 3 -letter words" are formed using the letters A, B, C, D, E, F, G, how many such %3D words are possible for each of the following conditions: (a) No condition is imposed. Your answer is : (b) No letter can be repeated in a word. Your answer is : (c) Each word must begin with the letter A and letters can be repeated. Your answer is : (d) The letter C must be at the end and letters can be repeated. Your answer is : (e) The second letter must be a vowel and letters can be repeated. Your answer is :

Dr. Lawrence has minimized his wardrobe during the fall of 2020, since there's no reason to dress up fancy these days. He has three pairs of jeans, five sweatshirts, and four hats that he puts to regular use. If he were to select his outfit for the day at random, how many different jean-sweatshirt-hat combinations are there? 6.

A bagel shop has a selection of 8 different kinds of bagels (at least 10 of each). (.1) How many different selections of 10 bagels can be made? ( .2) If garlic is one kind of available bagel and onion is another, how many different selections of 10 bagels can you make so that you have at least 3 onion bagels and exactly 2 garlic bagels?

10. Doug's job pays $8.80 per hour and Joanne's salary is Doug's salary per 3 4 hour. They need to raise at least $1,500 to repair their car. How many hours must each of them work if they agree to each work the same number of hours? (C) 99 (A) 97 (D) 100 (B) 98 (E) 101