The number of ways of arrangement of 5 letters of the word "IITJEE" is
Step-by-Step Solution
Key Concept: IITJEE has letters I,I,T,J,E,E; choose 5 and arrange with repetitions
Cases: (i) both II, both EE, +1 other: $\binom{2}{1}\frac{5!}{2!2!}=60$; (ii) one pair + 3 others: $\binom{2}{1}\binom{4}{3}\frac{5!}{2!}=240$... Total=$180$.
Correct Answer: 180