Live GMAT classes with Target Test Prep start Nov 21 and Nov 22. First class free.

See classes
Target Test Prep · GMAT

Choose how you want to prepare

Learn live with an expert or move at your own pace. Every option includes the complete TTP study system.

Newsweek Readers’ Choice Awards 2026 winner: Target Test Prep, #1 Test Prep

Target Test Prep was voted #1 Best Test Prep in the 2026 Newsweek Readers’ Choice™ Awards.

★★★★★5.0563 reviews
GMATLiveTeachStarts Nov 22
Josh Braslow, Target Test Prep GMAT expert
LIVE ONLINE CLASSES

Get Ready for GMAT Test Day Faster with Live Online Classes

with Josh Braslow, 20+ years in test prep

Nov 22 · Josh Braslow
Sun · 9:30 AM to 12:30 PM ET
Included
40 hours of live online classes + 6 months of TTP OnDemand
  • Attend the first class for free
  • Every class is recorded, so you never fall behind
View classes & enroll
Limited seats availableTarget Test Prep
EALiveTeachOnDemandStart anytime
EXECUTIVE ASSESSMENT

Target Test Prep EA OnDemand

Self-paced EA prep. Study on your schedule.

EXECUTIVE ASSESSMENT

with

165+ EA score guarantee
$05-day trial no automatic billing
Schedule
Included
40 hours of live online classes plus six months of access to the complete TTP EA OnDemand course.
  • 165+ EA Score Guarantee
  • 4,100+ Quant, Verbal, and Integrated Reasoning practice questions
  • 400+ hours of in-depth video lessons
  • 3,000+ step-by-step video solutions
View EA class & enroll Start free 5-day trial
Limited cohort · enrollment openTrial includes full course accessTarget Test Prep
GMATOnDemandStart anytime
SELF-PACED MASTERCLASS

Target Test Prep GMAT OnDemand

Complete access from day one. Study on your schedule.

715+ score guarantee
$0to start then $127/mo
  • Personalized study plan and analytics
  • Thousands of lessons and practice questions

combinatorics 2

Expert replies
by Gurpinder » Wed Jul 28, 2010 12:33 pm
If the first and last digit must be a 2 or a 4, how many 5-digit numbers are possible?

oa: 4,000
Join the discussion
Source: — Problem Solving |

by surajgarg » Wed Jul 28, 2010 12:38 pm
The middle 3 digits can be any digit from 0 to 9.

That means - 10x10x10 = 1000

The first and last digits can have combination as

2 _ _ _ 2
2 _ _ _ 4
4 _ _ _ 4
4 _ _ _ 2

4 combinations.

Total 5 digit combinations possible = 1000 x 4 = 4000
Join the discussion

by nicolezl » Wed Jul 28, 2010 12:40 pm
There are 2 options for the first and last digit, and 10 options for the middle 3, so total combinations=

2 X 10 X 10 X 10 X 2 = 4000
Join the discussion

by Gurpinder » Wed Jul 28, 2010 12:40 pm
ahh thanks. i was looking at it from a completely different perspective.
Join the discussion