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           ☆1 arithmetic calculations

[1/1 Formula]
    Work: Calculate the value of equation (C(3,2)*C(40,2)+C(3,3)*C(40,1)+C(3,1)*C(40,3))/C(43,4) .
    Question type: Mathematical calculation
    Solution:
          (C(3,2)*C(40,2)+C(3,3)*C(40,1)+C(3,1)*C(40,3))/C(43,4)
        =(3*C(40,2)+C(3,3)*C(40,1)+C(3,1)*C(40,3))/C(43,4)
        =(3*780+C(3,3)*C(40,1)+C(3,1)*C(40,3))/C(43,4)
        =(3*780+1*C(40,1)+C(3,1)*C(40,3))/C(43,4)
        =(3*780+1*40+C(3,1)*C(40,3))/C(43,4)
        =(3*780+1*40+3*C(40,3))/C(43,4)
        =(3*780+1*40+3*9880)/C(43,4)
        =32020/C(43,4)
        =32020/123410
        =0.25946

    Answer:(C(3,2)*C(40,2)+C(3,3)*C(40,1)+C(3,1)*C(40,3))/C(43,4)=0.25946


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