Question
The number of non - negative integral solutions of x1+x2+x3+x4≤n (where n is a positive integer) is:
The number of non - negative integral solutions of x1+x2+x3+x4≤n (where n is a positive integer) is:
Open in App
Solution
The correct option is C n+4C4
Let x5 be such that x1+x2+x3+x4+x5=n
Now we require the non - negative integral solutions of x1+x2+x3+x4+x5=n
The number of required solutions =n+5−1C5−1=n+4C4
Let x5 be such that x1+x2+x3+x4+x5=n
Now we require the non - negative integral solutions of x1+x2+x3+x4+x5=n
The number of required solutions =n+5−1C5−1=n+4C4
Suggest Corrections
0
Similar questions
View More
Explore more
