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           ☆1 arithmetic calculations

[1/1 Formula]
    Work: Calculate the value of equation (C(4,2)*C(38,1)+C(4,1)*C(38,2)*0+C(4,3)*C(38,0)*1)/C(42,3) .
    Question type: Mathematical calculation
    Solution:
          (C(4,2)*C(38,1)+C(4,1)*C(38,2)*0+C(4,3)*C(38,0)*1)/C(42,3)
        =(6*C(38,1)+C(4,1)*C(38,2)*0+C(4,3)*C(38,0)*1)/C(42,3)
        =(6*38+C(4,1)*C(38,2)*0+C(4,3)*C(38,0)*1)/C(42,3)
        =(6*38+4*C(38,2)*0+C(4,3)*C(38,0)*1)/C(42,3)
        =(6*38+4*703*0+C(4,3)*C(38,0)*1)/C(42,3)
        =(6*38+4*703*0+4*C(38,0)*1)/C(42,3)
        =(6*38+4*703*0+4*1*1)/C(42,3)
        =232/C(42,3)
        =232/11480
        =0.020209

    Answer:(C(4,2)*C(38,1)+C(4,1)*C(38,2)*0+C(4,3)*C(38,0)*1)/C(42,3)=0.020209


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