(F) Bruno\'s Burger Joint offers four different burger patties and seven choices
ID: 3111572 • Letter: #
Question
(F) Bruno's Burger Joint offers four different burger patties and seven choices of vegetables. How many patty-with-a-vegetable burgers can be ordered? (F) The Supreme Bruno is any patty- with-a- vegetable burger plus a condiment (from which there are 3 to choose): you can also have it with or without cheese. How many different, Supreme Brunos can there be? (F) You are assigned to communicate with a truly ancient computer. You must do this by telephone by shouting binary digits over the line, in clumps of eight digits. How many different eight-digit binary strings are there to shout? (F) A local creperie offers sweet crepes and savory crepes. A sweet crepe could have any of five fruits and any of four syrups. A savory crepe could have any of three vegetables and any of three proteins. How many different crepes are the menu? (CI) Every US coin is stamped with the year in which it was minted. How many coins do you need to have in your pocket to be assured that at least two of them have the same last digit? How many coins do you need to be guaranteed that at least two have the same first digit? (P1) Prove that if n is even, then (-1)^n = 1. (At no point may you use the fact that multiplying a negative number an even number of times gives a positive number, because that's what you're trying to prove.)Explanation / Answer
Solution:
SInce there are four different burger patties
therefore we have 4 chices so it can be ordered 4 ways
similerly vegetables can be ordered in 7 ways
therefore total number of way vegetable and burgers can be odered is
= 4 x 7 ways
= 28 ways
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