Solve p^53left(1-pright)^47

$${ p }^{ 53 } { \left(1-p \right) }^{ 47 }$$

Evaluate

$$\left(1-p\right)^{47}p^{53}$$

Expand

$$p^{53}-47p^{54}+1081p^{55}-16215p^{56}+178365p^{57}-1533939p^{58}[phone]p^{59}-62891499p^{60}[phone]p^{61}-1362649145p^{62}[phone]p^{63}-17417133617p^{64}[phone]p^{65}-140676848445p^{66}[phone]p^{67}-751616304549p^{68}[phone]p^{69}-2741188875414p^{70}[phone]p^{71}-6973199770790p^{72}[phone]p^{73}-12551759587422p^{74}[phone]p^{75}-16123801841550p^{76}[phone]p^{77}-14833897694226p^{78}[phone]p^{79}-9762479679106p^{80}[phone]p^{81}-4568648125690p^{82}[phone]p^{83}-1503232609098p^{84}[phone]p^{85}-341643774795p^{86}[phone]p^{87}-52251400851p^{88}[phone]p^{89}-5178066751p^{90}[phone]p^{91}-314457495p^{92}[phone]p^{93}-10737573p^{94}+1533939p^{95}-178365p^{96}+16215p^{97}-1081p^{98}+47p^{99}-p^{100}$$