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Question

If B1 and B5 have the caps C1 and C5 among themselves, in how many ways can you arrange the caps among the 5 boxes?
  1. 400
  2. 485
  3. 500
  4. 365


Solution

The correct option is C 500
B1 and B5 can be filled up in 2 × 2 = 4 ways and B2,B3,B4 can be filled up in =5×5×5=125 ways.
Hence the required number of ways =4×125=500 

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