Consider the letters of the word 'MATHEMATICS'. Possible number of words in which no two vowels are together is
A
7!8C44!2!
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
7!2!8C44!2!
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
7!2!2!8C44!2!
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
7!2!2!2!8C44!2!
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is C7!2!2!8C44!2! Consonants can be placed in 7!2!2! ways. Then there are 8 places and 4 vowels. Therefore, number of ways is =7!2!2!.8C44!2!