wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

5 letters are to be placed in 5 addressed envelopes at random. The probability that all the letters will not go into wrongly addressed envelopes is

A
1120
No worries! Weโ€˜ve got your back. Try BYJUโ€˜S free classes today!
B
44120
No worries! Weโ€˜ve got your back. Try BYJUโ€˜S free classes today!
C
76120
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
199120
No worries! Weโ€˜ve got your back. Try BYJUโ€˜S free classes today!
Open in App
Solution

The correct option is B 76120
The number of Derangement of n objects is given by [n!e] where [] represents the integral part and e is the Euler's Number.
Hence, for n=5, number of derangement is 44
Hence, the probability that there is atleast one letter which is correctly inserted is 144120
=76120

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon