SOLUTION: From the letters of the word HONESTY, how many 3 letter words can be formed if repetition is 1 Allowed? 2 not allowed?

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Question 1088292: From the letters of the word HONESTY, how many 3 letter words
can be formed if repetition is 1 Allowed? 2 not allowed?
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
From the letters of the word HONESTY, how many 3 letter words 
can be formed if repetition is 1 Allowed?

Choose the first letter as any of the 7 letters in HONESTY.
That's 7 ways. 
Choose the second letter as any of the 7 letters in HONESTY.
That's 7 ways. 
Choose the third letter as any of the 7 letters in HONESTY.
That's 7 ways. 

Answer 7󬱟 = 343

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2 not allowed?

Choose the first letter as any of the 7 letters in HONESTY.
That's 7 ways. 
Choose the second letter as any of the 6 remaining letters 
in HONESTY that weren't chosen as the first letter.
That's 6 ways. 
Choose the third letter as any of the 5 remaining letters 
in HONESTY that weren't chosen as either the first or the
second letters.
That's 5 ways. 

Answer 7󬝱 = 210

Edwin