(1/50-1)×(1/49-1)×(1/48-1)×...×(1/4-1)×(1/3-1)×(1/2-1) 等于多少,要求完整的过程

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(1/50-1)×(1/49-1)×(1/48-1)×...×(1/4-1)×(1/3-1)×(1/2-1) 等于多少,要求完整的过程

原式=-(1-1/50)-(1-1/49)……-(1-1/3)-(1-1/2)
=(49/50)(48/49)……(2/3)(1/2)
=(1/50)(1)
=1/50

原式=(-49/50)*(-48/49)*(-47/48)……*(-3/4)*(-2/3)*(-1/2)
=-1/50