The following diagram shows a row of post boxes with the owners’

The following diagram shows a row of post boxes with the owners’ names beneath.

Five parcels, one for the owner of each box, have arrived at the post office. If one parcel is randomly placed in each box, find the number of ways in which:

a. The five parcels can all be placed in the correct boxes

b. Exactly one parcel can be placed in the wrong box

c. The correct parcels can be placed in Mr A’s and one other person’s box only

d. Exactly two parcels can be placed in the correct boxes.

 

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