SOLUTION: From the letters of the word HONESTY,how many ways 3- letter words can be formed,if repetition is a A) Allowed B) not Allowed?

From the letters of the word HONESTY,how many ways 3- letter words can be formed, if repetition is a A) Allowed B) 

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 7×7×7 = 7³ =343

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B) 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 7×6×5 = 210

Edwin