This is about arranging the letters of the word TRIANGLES, which consists of 9 distinct letters. In a letter-bag, order of letters does not matter. In an acronym, order of letters matters.

1. How many 3-letter acronyms can be made if letters cannot be repeated? 
2. How many 3-letter acronyms can be made if letters can be repeated? How many 9-letter letter-bags can be made if letters cannot be repeated? 
3. How many 9-letter acronyms can be made if letters cannot be repeated? 
4. How many 9-letter acronyms can be made if letters can be repeated? 
5. If we must choose exactly one consonant but are free to choose any number of vowels from the letters of our word (if letters cannot be repeated), how many letter-bags are possible?