Question 42

The number of different solutions $$(x,y,z)$$ of the equation $$x + y + z = 10$$, where $$x, y$$ and $$z$$ are positive integers, is

Solution

Assume x=a+1, y=b+1, z=c+1

a+1+b+1+c+1=10,

a+b+c=7

The number of non-negative solutions for a, b and c will give the postive integral solution for x,y,z which is $$^{7+3-1}C_{3-1}$$ = $$\ \frac{\ 9\times\ 8}{2}$$ = 36

Create a FREE account and get:

All Quant Formulas and shortcuts PDF
40+ previous papers with solutions PDF
Top 500 MBA exam Solved Questions for Free

CAT Quant Questions | CAT Quantitative Ability

CAT Data Sufficiency Questions CAT Remainders Questions CAT Averages, Ratio and Proportion Questions CAT Geometry Questions CAT Averages Mixtures Alligations Questions

CAT DILR Questions | LRDI Questions For CAT

CAT Special Charts Questions CAT Scheduling Questions CAT Routes And Networks Questions CAT Coins and Weights Questions CAT Selection With Condition Questions

CAT Verbal Ability Questions | VARC Questions For CAT

CAT Verbal Ability Questions CAT Odd One Out Questions CAT Para Summary Questions CAT Para Jumbles Questions CAT Reading Comprehension Questions

PGDBA 2017

The number of different solutions $$(x,y,z)$$ of the equation $$x + y + z = 10$$, where $$x, y$$ and $$z$$ are positive integers, is

CAT Quant Questions | CAT Quantitative Ability

CAT DILR Questions | LRDI Questions For CAT

CAT Verbal Ability Questions | VARC Questions For CAT

Free Quant Questions

Login to your Cracku account

Hello! 👋

Ready to Unlock Your Success?

Please Enter Your OTP

Please enter the following details

Create a free Cracku account