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  •  Find the number of solutions of  , such that <img alt="p" sr

 Find the number of solutions of [7(p-q)] \div 2=14 , such that p and q are even numbers

Option: 1

9


Option: 2

3


Option: 3

7


Option: 4

4


Answers (1)

best_answer

Given,
[7(p-q)] \div 2=14$ and $p, q \geq 0
Generalized formula to find the number of solutions of equations is
a_1+a_2+\ldots . .+a_r=(n+r-1) c_{r-1} Let, p=2 p, q=-2 q$ Then, $2 p+2 q=4
So the equation becomes
p + q = 2
Hence from above equation, n = 2 and r = 2
Hence the total number of solutions =(2+2-1) c_{2-1}=3 c_1=3

Posted by

seema garhwal

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