Search any question & find its solution
Question:
Answered & Verified by Expert
If $x+y \leq 4$, then the how many non-zero positive integer ordered pair $(x, y) ?$
Options:
Solution:
1235 Upvotes
Verified Answer
The correct answer is:
6
Since $x$ and $y$ are non-zero positive integers therefore $x=1,2,3, \ldots \ldots \ldots \ldots$ and $y=1,2,3, \ldots$
Now, given $x+y \leq 4$ $(x, y)$ can be $(1,1),(1,2),(1,3),(2,1),(2,2),(3,1)$
Required number of ordered pairs $=6$
Now, given $x+y \leq 4$ $(x, y)$ can be $(1,1),(1,2),(1,3),(2,1),(2,2),(3,1)$
Required number of ordered pairs $=6$
Looking for more such questions to practice?
Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.