Given sets [math]A[/math], [math]B[/math], and [math]C[/math], find [math]A ∩ B[/math], [math]A ∩ C[/math], [math]B ∩ C[/math], and [math]A ∩ B ∩ C[/math].
[math]\,\,\,\,\,A[/math] = {red, blue, green, yellow, purple, black, pink}
[math]\,\,\,\,\,B[/math] = {white, blue, red, orange}
[math]\,\,\,\,\,C[/math] = {purple, red, blue, green, white}