Question

total number of ways of permutations of the letters of the world IITJEE​

Answer 1

there are 36 + 36 +6 +24 = 102 distinct 4 letter permutations of the letters in IITJEE.

Answer 2

If all letters were unique, the total permutations would be: 6!

But they aren't - the 2 I's would be interchanged in various permutations, 2! times in each.

And the 2 E's would be interchanged 2! times too.

So, the total number of ways, for the letters of the word IITJEE to be permuted, are: 6!/(2! * 2!) = (720)/(4) = 180.