JEE Main & Advanced
Mathematics
Permutations and Combinations
Question Bank
Definition of permutation, Number of permutations with or without repetition, Conditional permutations
question_answer
The number of arrangements of the letters of the word CALCUTTA [MP PET 1984]
A)2520
B)5040
C)10,080
D)40,320
Correct Answer:
B
Solution :
Required number of ways\[=\frac{8\ !}{2\ !\ 2\ !\ 2\ !}=5040\].