In a team every player shakes his hand with other player only once. I…

The correct answer is Option (1) → 16

If there are n players, and each pair shakes hands once, then the total number of handshakes is:

$\text{Handshakes} = \frac{n(n-1)}{2}$

Given:

$\frac{n(n-1)}{2} = 120$

Multiply both sides by 2:

$n(n-1) = 240$

$n^2 - n - 240 = 0$

Factor:

$(n - 16)(n + 15) = 0$

So,

$n = 16$