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
A
24x6!
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
26x6!
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
20x5!
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
26x7!
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
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.