Question

1. Henry has 28 plastic magnetic letters. He has 3 identical letters A, and exactly one...

1. Henry has 28 plastic magnetic letters. He has 3 identical letters A, and exactly one of each of the letters B through Z.

i. How many sequences of length 6 can Henry form if no letter repeats? For example, BITINA is now allowed because the letter I is used twice.

ii. How many sequences of length 6 can Henry form if the letter A is used exactly two times? For example, ADANSK uses the letter A twice.

iii. How many sequences of length 6 can Henry form if there are no restrictions? Any letters can be used or not used. Be careful in counting the copies of A that might be used.

Note: These are permutation problems that I have a basic understanding of. I just need a little clarification.

Thank you for your help, I'll be sure to rate!

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