Question

Find the sum of all triples (x, y, z ; (x​

Answer 1

Step-by-step explanation:

When we talk about special triplets, they must satisfy following conditions

x<=y and z <=y

If the above condition is fulfilled, then value of each triplet is given by

f (x, y, z) = (x + y) * (y + z) .......... eq (1)

If we assume that there are three rays

A = {1, 4, 5}, B = {2, 3}, C = {2, 1, 3}

Special triplets according to the condition will be

(1, 2, 2), (1, 2, 1) , (1, 3, 2) , (1, 3, 1) , (1, 3, 3)

Putting value in  eq (1), we get

(1 + 2) * (2 + 2)  = 12

(1 + 2) * (2 + 1)  =  9

(1 + 3) * (3 + 2)  = 20

(1 + 3) * (3 + 1)  = 16

(1 + 3) * (3 + 3)  = 24

The sum will be equal to 81