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=12}, where \mathrm{\mathrm{x}, \mathrm{y}} and \mathrm{\mathrm{z}} are all \mathrm{\mathrm{W}}.

Option: 1

 66


Option: 2

77


Option: 3

 55


Option: 4

44


Answers (1)

best_answer

Given that \mathrm{x+y+z=12}

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=12}

The number of solutions is given as \mathrm{={ }^{12-1} C_{3-1}}
                                                          \mathrm{=^{11} C_{2}}
                                                          \mathrm{=55}

The correct option is (b)

Posted by

vishal kumar

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, NEET, CUET UG Dates Live: NTA exam calendar awaited at nta.ac.in
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

Latest Question