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find the number of distinct arrangements of the letters of the word IITJEE that can be made preserving the order in which the vowels(I,I,E,E) occur and not counting the original arrangement IITJEE
let us put the vowels in order _I_I_E_E_
The remaining two letters can be put in either of 5 spaces . So number of ways = 5x5 =25
but when the letters TJ is put in same space , we can arrange it in two ways so , there are 5 more ways
so now number of ways =25+5=30
dropping the IITJEE we have 29 ways .
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