The correct option is B
In the word BIOLOGY, there are 7 letters, in which O appears 2 times and B,I,L,G,Y each appears once.
Therefore, the required number of arrangements 7!2!=2520
O appears 2 times.
Temporarily, let us treat these repeated letters different and name them as O1,O2
The number of permutations of 7 different letters, in this case, taken all at a time is 7!.
One such permutation is O1BLIGYO2
Here if O1
are not same, then they can be arranged in 2! ways.
Therefore 2! permutations will be just the same permutation corresponding to this chosen permutation O1BLIGYO2
Hence the total number of different permutations will be 7!2!=2520