TOPIC 1 & 2 (EXAMPLES) Flashcards
In a high school graduating class 100 students, 42 studied Math, 68 studied Psychology, 54 studied History, 22 studied both Math anf History, 25 studied both Math and Psychology, 7 studied History and neither Math nor Psychology, 10 studied all three subjects, and 8 did not take any of the three.
a. How many students took History and Psychology but not Math?
b. How many students enrolled in History and took all the three subjects?
c. How many students took Math only?
a. 25
b. 10
c. 5
In the design of a casing for a gear housing, we can use four different types of fasteners, three different bolt lengths, and three different bolt locations.
36
Sam is going to assemble a computer by himself. He has the choice of chips from two brands, a hard frive from four, memory from three, and an accessory bundle from five local stores. How many different ways can Sam order the parts?
120
A printed circuit board has eight different locations in which a component can be placed. If four different components are to be placed on the board, how many different designs are possible?
1680
Consider a machining operation in which a piece of sheet metal needs two identical diameter hole drilled and two identical-size notches cut. We denote a drilling operation as d and a notching operation as n.
6
A part is labeled by peinting with foyr thick lines, three medium lines, and two thin lines. If each ordering of the nine lines represents a different label, how many different labels can be generated by using this scheme?
1260
How many different letter arrangements can be made from the letters in the word STATISTICS?
50400
In how many ways can 7 graduates be assigned to 1 triple and 2 double hotel rooms during a conference?
210
In how many ways can 5 persons arrange themselves around a round table?
24
A printed circuit boards has eight different locations in which a component can be placed. If five identical components are to be placed on the board, how many different designs are possible?
56
A bin of 50 manufactured parts contains three defective parts and 47 non-defective parts. A sple of six parts is selected from the 50 parts without replacement. That is, each part can only be selected once and the sample is a subset of the 50 parts. How many different samples are there of size six that contain exactly two defective parts?
535095
A young boy asks his mother to get 5 gameboy cartridges from his collection of 10 arcade and 5 sports games. How many ways are there that his mother canget 3 atcade and 2 sports game?
180
From 3 red, 4 brown, and 5 yellow diodes, how many selections consisting of 6 diodes if 2 of each color are to be selected?
180
