The number of ways 10 letters can be placed in 10 marked envelopes, so that no letter is in the right envelope are
A
10!(12!−13!+⋯+110!)
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
10!(−12!+13!−⋯−110!)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
(12!−13!−⋯+110!)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
9!(−12!+13!−⋯−110!)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is A10!(12!−13!+⋯+110!) The required number of ways is equal to the number of dearrangements of 10 objects Hence, required number of ways =10!(12!−13!+⋯+110!)