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

# Consider the letters of the word MATHEMATICS. Possible number of words taking all letters at a time such that in each word both M’s are together and both T’s are together but both A’s are not together is

A
11!2!2!2!10!2!2!
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
7!× 8C2.
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
6!4!2!2!
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
9!2!2!2!
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

## The correct option is B 7!× 8C2.Make a group of both M's and another group of T's. Then except A's we have 5 letters remaining. So M's, T's, and the letter except A's can be arranged in 7! ways. Therefore, total arrangements is 7!× 8C2.

Suggest Corrections
0
Join BYJU'S Learning Program
Related Videos
Intution for Wave Speed
MATHEMATICS
Watch in App
Join BYJU'S Learning Program