Practice Quiz 12.1 and 12.2 1.) You are choosing curtains, paint and carpet for your room. You have 12 choices of curtains, 8 choices of paint and 20 choices of carpeting. How many difference ways can you choose curtains, paint and carpeting for your room? 2.) Find the number of distinguishable permutations in the word FOLLOW. 3.) A pizza shop offers 12 different toppings. How many different 3-­‐topping pizzas can be formed with the 12 toppings? 4.) You have forgotten the combination of the lock on your school locker. There are 40 numbers on the lock and the correct combination is R___-­‐ L____ -­‐ R_____. How many possible combinations are there? 5.) Find the number of 5 card hands that contain a.) 5 black cards b.) 5 cards, none of which are face cards (either kings, queens or jacks) c.) exactly 2 hearts d.) exactly 3 queens 6.) In how many different ways can nine people stand in a circle? 7.) In how many difference ways can 2 students out of a 25 member class be elected president and vice president? 8.) A basketball game has five starting players. There are 13 girls on the team. In how many ways can the coach select players to start the game? (Assume each player can play each position). Practice Quiz 12.1 and 12.2 9.) If 8 basketball teams are in a tournament, find the number of different ways that first, second and third place can be decided. 10.) How many difference 5 digit zip codes can be formed if digits can not be repeated? 11.) A discussion panel of 4 women and 3 men is to be seated behind a long table at an open town meeting. In how many ways can the panel be seated if women and men must be placed in alternate seats? 12.) Each grouping in the Morse code is a sequence of 4 or fewer dots and/or dashes that stands for a letter of the alphabet or a punctuation mark. For example, the group consisting of 3 dots stands for the letter “S.” How many distinct groupings are possible in this system? 13.) A high school needs four additional faculty members: two math teachers, a chemistry teacher, and a Spanish teacher. In how many ways can these positions be filled if there are six applicants for math, two for chemistry and ten for Spanish? 14.)
Expand (x − 4y)4