SOLUTION: How many one to one correspondences are there between the sets {x,y,z,u,v} and {1,2,3,4,5} if in each correspondence x must correspond to 5?

Question 180929: How many one to one correspondences are there between the sets {x,y,z,u,v} and {1,2,3,4,5} if in each correspondence x must correspond to 5?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Line up the x,y,z,u,v on the left and the 1,2,3,4,5 on the right.
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Draw a line from the x to the 5
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the y may go to one of 4 points (1,2,3,or 4)
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The z may go to one of 3 that remain
The u may go to one of 2 that remain
the v can only go to the remaining point
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Total number of possible connections: 1*4*3*2*1 = 24
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Cheers,
Stan H.
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