i, j, k belonging to the set S = {0,1,2,3,4} and i + j + k = 4, and how many different equations can you make of the form x ^ i + y ^ j + z ^ k
BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course
Redeem
Featured Course
Target Test Prep GMAT OnDemand
Scott Woodbury-Stewart’s private virtual classroom — 400 hours of master-class video lessons for the GMAT Focus Edition.
- 715+ score guarantee — highest in the industry (99th percentile)
- 52 chapters · 1,500+ lessons · 4,000+ practice questions
- 400 hours of video · 1,500+ instructor-led HD smartboard lessons
- 300,000+ students accepted to Harvard, Stanford, Wharton, Booth & Sloan & more
- 24/7 live support + weekly Zoom office hours with GMAT instructors
- TTP AI Assist — 24/7 AI-powered virtual tutor for instant help
- 1,200+ flashcards + AI-powered study assistant & daily calendar
- OnDemand, LiveTeach & GMAT Bootcamp formats available
- Also: GRE, SAT Math & Executive Assessment courses
- MBA Admissions Consulting now available
- 🏆 2025 EdTech Breakthrough Award: Test Prep Solution Provider of the Year
- 200,000+ students served
- 5-day free trial — $0 to start, no auto-billing, cancel anytime
★★★★★
5.0
(559 reviews)
130-pt guarantee
$0 to start
then $127/mo
How many different equations can be found?
Source: Beat The GMAT — Problem Solving |
Well, this isn't a GMAT problem ... and even if it were, it isn't well-formulated ... and even if it were, its solution involves a lot of tedious casework, so ... it's a tough sell for us. 
I'm not sure where your problems are coming from, but I answered another one that wasn't well-formulated either (in another thread), so you might want to look for a better textbook/source.
I'm not sure where your problems are coming from, but I answered another one that wasn't well-formulated either (in another thread), so you might want to look for a better textbook/source.
Let me be helpful, though: this problem is basically a balls and urns problem, and you can read a lot about how to solve such problems here.
