The number of arrangements of the word KANGAROO in which As' do not appear together is
The number of arrangements of the word KANGAROO in which As' do not appear together is
2520
3780
7650
7560
Solution
Total no. of arrangements $=\frac{8 !}{2 ! 2 !}$
No. of arrangements, when A's are together $=\frac{7 !}{2 !}$ So, the number of required arrangement $=\frac{8 !}{2 ! 2 !}=\frac{7 !}{2 !}=7560$