Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • Determine how many solutions there are to the equation , where 

Determine how many solutions there are to the equation \mathrm{x+y+z=29}, where \mathrm{\mathrm{x}, \mathrm{y}}, and \mathrm{\mathrm{z}} are all \mathrm{\mathrm{W}}.

Option: 1

378


Option: 2

556


Option: 3

676


Option: 4

675


Answers (1)

best_answer

Given that \mathrm{x+y+z=29}
For \mathrm{x_{1}+x_{2}+x_{3}+\ldots \ldots x_{r}=n}

The number of solutions will be \mathrm{={ }^{(n-1)} C_{(r-1)}}
Then for \mathrm{x+y+z=29}
 

The number of solutions is given as \mathrm{={ }^{29-1} C_{3-1}}
                                                         \mathrm{={ }^{28} C_{2}}
                                                         \mathrm{=378}
The correct option is a

Posted by

Gautam harsolia

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

JEE Main 2025 session 1 exam in the last week of January; registration details
anam-khan

Over 656 UPSC, JEE, NEET, other coaching aspirants refunded more than Rs 1 crore: Govt
anam-khan

NTA Exam Calendar 2025: JEE Main, NEET, CUET, UGC NET dates soon; websites to check

Latest Question