In how many ways, the letters of the word 'SACRED' can be arranged so that vowels come together?
A
240
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
120
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
320
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
720
No worries! We‘ve got your back. Try BYJU‘S free classes today!
E
None of these
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is A 240
The word 'SACRED' consists of 4 consonants (SCRD) and 2 vowels (AE). On keeping vowels together, we get SCRD (AE) ∴ Number of arrangements = 5 ! × 2 ! =5×4×3×2×1×2×1 = 240