Question 1078752
Evaluate the expression.
P({{{7}}}, {{{2}}}) · P({{{4}}}, {{{3}}}) 

If P({{{7}}},{{{2}}}), P({{{4}}},{{{3}}}) designates the number of permutations, then


{{{P(7,2) = 7*6 = 42}}},


{{{P(4,3) = 4*3*2 = 24}}},


and  {{{P(7,2) * P(4,3)  = 42*24 = 1008}}}

or, this way:

{{{P(7,2) * P(4,3)  =((7!)/((7 - 2)!))*((4!)/((4 - 3)!))}}}


{{{P(7,2) * P(4,3)  =((7*6*5*4*3*2*1)/((5)!))*((4*3*2*1)/((1)!))}}}


{{{P(7,2) * P(4,3)  =((7*6*5*4*3*2*1)/((5*4*3*2*1)))*((4*3*2*1)/(1))}}}


{{{P(7,2) * P(4,3)  =((7*6*cross(5*4*3*2*1))/(cross((5*4*3*2)*1)))*(4*3*2*1)}}}


{{{P(7,2) * P(4,3)  =(7*6)*(4*3*2*1)}}}


{{{P(7,2) * P(4,3)  =1008}}}