Question 732500
here you need to use combinations, the items do not have to be in any particular order, just rearrange them in the same sequence


{{{nCr=n!/(n-r)!r!}}}


{{{25C2=25!/(25-2)!2!}}}


{{{25C2=25!/(23!2!)}}}


{{{25C2=(25*24*23*22*21*20*19*18*17*16*15*14*13*12*11*10*9*8*7*6*5*4*3*2*1)/(23*22*21*20*19*18*17*16*15*14*13*12*11*10*9*8*7*6*5*4*3*2*1*2)}}}


{{{25C2=(25*24*(cross(23*22*21*20*19*18*17*16*15*14*13*12*11*10*9*8*7*6*5*4*3*2*1)))/((cross(23*22*21*20*19*18*17*16*15*14*13*12*11*10*9*8*7*6*5*4*3*2*1))*2)}}}


{{{25C2=(25*cross(24)12)/(cross(2)1)}}}


{{{25C2=25*12}}}


{{{25C2=300}}}


so, your answer is {{{300}}}