Find the seventh term of (p-j)^55

seventh term is n = 55, m = 6

C(55,6) p^49 j^6

C(55,6) = 55!/ [ 49! 6! ]

= 55*54 *53*52*51 * 50/(6*5*4*3*2)

= 55*54 *53*52*51 * 10/(6*4*3*2)

= 55*54 *53*52*51 * 5/(6*4*3)

= 55*3 *53*21*51 * 5/(2)
so multiply that out * p^49 j^6