All the letters of the word' ABRACADABRA' are arranged in different possible ways. Then the number of such…
All the letters of the word' ABRACADABRA' are arranged in different possible ways. Then the number of such arrangements in which the vowels are together is
1200
1240
1220
1260
Solution
The word ABRACADABRA has
A: 5 times, B: 2 times, R: 2 times, C, D: 1 time each When all vowels are together, we have to arrange 7 elements. $\therefore$ No. of arrangements $\frac{7 !}{2 ! 2 !}=1260$