The Counting Principle
Subway overs a new lunch special for $6.99 that lets you choose from seven types of deli meat, six different bags chips, and eight different types of drinks. How many possible lunch specials combinations are possible?
336
If the aspect ratio in width:height of a chalkboard is 16:9 and the height is 45 in., what is the width of the chalkboard?
80
Ron recently increased the size of his Jeep tires from the original 28.5 inch diameter to the larger 34 inch diameter. If Ron didn’t recalibrate his speedometer, how fast is he really going on the new tires when his speedometer shows he is traveling 60 mph?
about 72mph
You are standing amongst a crowd for a parade that is 10 feet deep, on both sides of the street, and 3 miles long. If each person occupies 2.5 square feet, estimate the number of people watching the parade. (Hint: There are 5280 feet in 1 mile)
126,720
Given a special license plate tag consists of 5 characters for a small country. The first characters is a digit between 1 – 5. The second and third characters are letters that cannot repeat. The last two characters can be any digits. How many unique tags are possible?
325,000
A TV is 45 inches wide and 30 inches high. What size would be listed on the side of the box if you purchased this TV?
54 inches
If you have changed the tires on your car, the original diameter is 27.5 inches to a new diameter of 31.5 inches, how far have you travelled if your odometer is reading 1500 miles?
about 1718 miles
The gymnasium is 120 feet long and 60 feet wide. The principal is making a severe weather plan for the school. How many students can the principal expect to fit in the cafeteria in an emergency? (Remember the expected floor space a standing person occupies is about 2.5 sq feet)
2,880
Your bank requires that you create a 3-digit pin(ABC) to access your online account. How many pins are possible if the digit ‘A’ can be any number 1 through 9, and the digit ‘B’ can be any number 3 through 9, and the digit ‘C’ can be any number 0 through 6?
441
A television with a 16:9 screen shows an image with a ratio of 50:18 which creates a letter boxed image. What percent of the screen’s area is occupied by the image?
64%
Mike recently increased the size of his truck tires from the original P205/70R15 to the larger P280/75R16. If Mike didn’t recalibrate his odometer, how far has he traveled on his new tires when his odometer shows he has traveled 2000 miles? (Remember that 1 inch = 25.4 mm)
2,475 miles
A bookstore is hosts the stars from the Harry Potter series for an anniversary book signing. The store has 150’ by 100’ of floor space open for fans to wait. The stars have requested having a 12’ by 10’ space around them so they are not overwhelmed with people. The fire marshal has set the requirement that each person should occupy not less than 2.5 ft2. How many fans can be in the building to meet the stars?
5,952
A lock on a fence door has a 3-digit combination. Each digit can be any number between 0 – 7. The only restriction is that all 3 characters cannot be the same (e.g. 000, 111, 222, 333, etc.). How many combinations are possible?
504
A monitor with a screen dimension ratio of 40:32 is playing a video image with a dimension ratio of 10:6 at its fullest size which left a letter-boxed image. What percent of the screen’s area is occupied by the image if the image fills the width of the screen?
75%
There are 10 athletes in the finals for the pole-vaulting event in the Olympics. How many ways can the gold, silver, and bronze medals be awarded?
720