Hi dpo28,

Based on the description in the first example, you can use EITHER 3 numbers (1,3,5,7,9) with NO repeats OR you can use 3 vowels (A,E,I,O,U) with NO repeats.

With a license plate, there is an ORDER to the characters (and the order DOES matter), so we have a permutation.

With just numbers, and 3 "spots" we would have....

5 options for the first 'spot'; once we place a number, we then have....

4 options for the second 'spot'; once we place a number, we then have...

3 options for the third 'spot;

(5)(4)(3) = 60 different licenses with numbers

With just vowels, we have the exact same mathematical situation: 5 vowels and 3 "spots":

5 options for the first 'spot'; once we place a vowel, we then have....

4 options for the second 'spot'; once we place a vowel, we then have...

3 options for the third 'spot;

(5)(4)(3) = 60 different licenses with vowels

60+60 = 120 total licenses under these restrictions.

GMAT assassins aren't born, they're made,

Rich

_________________

760+: Learn What GMAT Assassins Do to Score at the Highest Levels

Contact Rich at: Rich.C@empowergmat.com

# Rich Cohen

Co-Founder & GMAT Assassin

Special Offer:

Save $75 + GMAT Club Tests Free
Official GMAT Exam Packs + 70 Pt. Improvement Guarantee

www.empowergmat.com/
***********************Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!***********************