Question

Twenty-five colored emojis stickers are to be arranged in a grid comprising of five rows and five columns. Each cell in the grid must contain exactly one emoji. Each emoji sticker has a different emotion. They are either smiling, sad or angry.

While arranging the emoji along any of the five rows or along any of the five columns, the rules given below are to be followed:

1. Two adjacent emojis along the same row or column are always of different emotions.
2. There is at least one smiling emoji between any two sad emojis along the same row or column.
3. There is at least one smiling emoji and at least one sad emoji between any two angry emojis along the same row or column.

Every unique, complete arrangement of twenty-five emoji stickers is called a configuration.

Two happy emoji stickers have been placed in ‘second row, third column and ‘third row, second column. How many more happy emoji stickers can be placed so as to maximize the number of happy emojis used in the configuration?​

Answer 1

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