If P=.23 and n=30 what is the outcome of P(20<x<23)=

P(x>23)=
please show the whole solution so I can learn how and why the outcome was achieved. Thanks so much.

P(20 < x < 23) = P(X = 20 ) + P (X = 21) + P(X = 22) + P(X = 23)

P(20 < x < 23) = (30C20)(.23)^20(.77)^10 + (30C21)(.23)^21(.77)^9 + (30C22)(.23)^22(.77)^8 + (30C23)(.23)^23(.77)^7 = ?