Consider the following programming segment

counter = 500

for i = 1 to (65) do {

counter = counter + 13

for j = i+1 to (120) do {

counter = counter + 26

for k = j+1 to 50do {

counter = counter + 39

}

}

}

Determine the value that the variable counter will have after the segment is executed. Your answer must rely on combinations structure. Answers that use sigma notation will not be accepted.