CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

No. of ways of dividing 80 cards into 5 equal groups of 16 each is

A
80!(16!)5
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
80!(5!)16
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
80!(5!)5
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
80!(16!)5.5!
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D 80!(16!)5.5!
We can answer this problem in the following way
First choose 16 cards out of 80, next 16 cards out of (80-16), next 16 cards out of (80-32), and so on till 16 out of 16.
total number of ways of doing this =80C16×64C16×48C16×32C16×16C16=80!16!5
But all the groups are equal so the permutations among them should not be included
The answer is =80!(16!)5×5!

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