Instant Insanity has 331,776 possibilities (not all different). Suppose a computer could print out 1000 arrangements every four seconds. How long would it take for this computer to print out all possibilities?
A) 13 minutes, 28 seconds
B) 9 minutes, 13 seconds
C) 11 minutes, 9 seconds
D) 22 minutes, 7 seconds
E) 2 hours, 22 minutes, 7 seconds

Question

Instant Insanity has 331,776 possibilities (not all different). Suppose a computer could print out 1000 arrangements every four seconds. How long would it take for this computer to print out all possibilities? ​
A) 13 minutes, 28 seconds
B) 9 minutes, 13 seconds
C) 11 minutes, 9 seconds
D) 22 minutes, 7 seconds
E) 2 hours, 22 minutes, 7 seconds

Quizplus · Accepted Answer

The total number of arrangements that the computer needs to print out is 331,776.

If the computer can print out 1000 arrangements every 4 seconds, it can print out 15,000 arrangements every minute (since 1000 x 15 = 15,000).

To calculate how many minutes the computer will need, we can divide the total number of arrangements by the number of arrangements that the computer can print out in a minute:

331,776/15,000 = 22.1184 (rounded to four decimal places)

Therefore, it will take approximately 22 minutes and 7 seconds for the computer to print out all possibilities.

Therefore, the answer is D.

Instant Insanity Has 331,776 Possibilities (Not All Different)