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Question

The number of ways that the letters of the word "PERSON" can be placed in the squares of the adjoining figure so that no row remains empty
11351_e4bc388cee1d4a7cb7795e192ecaafcf.png

A
24x6!
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B
26x6!
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C
20x5!
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D
26x7!
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Solution

The correct option is B 26x6!
Total boxes =8.
The 6 letters can be placed in 8 boxes in 8P6=8C6×6!=28×6! ways.
If R1 or R2 is empty: The 6 letters can be placed in 6 boxes in 6P6×2=2×6!=1440 ways.
Thus, required answer =28×6!2×6!=26×6!
Hence, (B) is correct.

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