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Solves problems involving permutation

How many words can be formed using the letters of the word ARRAY? 


How many words can be formed using the letters of the word GROW? 


How many words can be formed using the letters of the word CLOWN? 


How many arrangements of numbers 2-9 taken 2 at a time can be formed if repetition is allowed? 


How many words can be formed using the letters of the word TREATY? 


How many arrangements of numbers 1-10 taken 2 at a time can be formed if repetition is not allowed? 


Suppose that the word SQUARE is permuted, how many words formed start with Q and end with R? 


How many arrangements of numbers 5-10 taken 3 at a time can be formed if repetition is allowed? 


How many arrangements of numbers 1-10 taken 2 at a time can be formed if repetition is allowed? 


How many arrangements of numbers 2-9 taken 2 at a time can be formed if repetition is not allowed?