ACT Practice Math Questions: Combinations and Permutations - dummies

ACT Practice Math Questions: Combinations and Permutations

Okay, so “combinations and permutations” sounds like the name of a class you would take at wizards’ college, but these are actually topics that you would cover in a statistics class. They’re also something you’ll probably need to know for the ACT Math exam.

Fortunately, the following practice questions will help you brush up on your skills: first, you’ll need to calculate the total number of possible license plate designations for a community, and then you’ll be asked to find the total possible number of combinations for a secret code.

Practice questions

1. License plate designations in Tinytown consist of three characters. The first is either the letter M or F depending on the gender of the car’s owner, the second is a single digit between 0 and 9, and the last is a single letter of the entire alphabet from A to Z. How many license plate designations are possible?

A. 38
B. 468
C. 520
D. 780
E. 6,760

2. A secret code is created by combining any 2 letters from the English alphabet and any 2 one-digit numbers between and including 0 and 9. How many different code combinations are possible if numeric digits can be repeated but letters cannot?

A. 71
B. 72
C. 60,840
D. 65,000
E. 67,600