GIMME CHOCOLATE
Level
pending
Noruas is playing a weird game. He is using a 10x10 grid board and 2 indistinguishable pieces of chocolate. The number of ways that Noruas can place the 2 pieces of chocolate on the board, such that both pieces are in the same row or column is N. What is N?
The answer is 900.
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1 solution
for one row or column, pieces of chocolate can be arrange in 45 different ways by satisfying condition. same can be done for other row and column means 45x10=450 for rows and 45x10=450 for column. Total=450+450=900 ways. 45=(9+8+7+6+5+4+3+2+1) ways are 9 if we arrange two pieces together 8 if keeping one block between two pieces 7 if keeping two blocks between two pieces and so on...