<p>Number of words of 4 letters that can be formed with the letters of the word IIT JEE, is</p>
Step-by-Step Solution
Key Concept: Count permutations of letters from IIT JEE by cases based on which letters are repeated.
<p><strong>Solution:</strong> There are 6 letters: I, I, E, E, T, J</p><p><strong>Case I:</strong> All letters are different: $^4P_4 = 4! = 24$</p><p><strong>Case II:</strong> Two alike and two different: $^2C_1 \times ^3C_2 \times \frac{4!}{2!} = 72$</p><p><strong>Case III:</strong> Two alike of one kind and two alike of another kind: $^2C_2 \times \frac{4!}{2!2!} = 6$</p><p>Hence, number of words $= 24 + 72 + 6 = 102$</p>
Correct Answer: C