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In: Statistics and Probability

How many: New York license plates can be made that consist of 3 letters followed by...

  1. How many:

New York license plates can be made that consist of 3 letters followed by 4 numbers given the restriction that if the first letter is an ‘N’, then the second letter must be a ‘Y’?

New York license plates can be made that consist of 3 letters followed by 4 numbers given the restrictions that (1) if the first letter is an ‘N’, then the second letter must be a ‘Y’ and (2) if the second letter is an ‘N’, then the third letter must be a ‘Y’?

ways can a vase be filled with 5 flowers given that you have 8 flowers?

ways can you seat 4 couples in a concert row?

ways can you seat 4 couples in a concert row given that the couples want to sit with their partners?

ways can seat 4 couples at a circular table given that the couples want to sit with their partners?

ways can a necklace be strung together with 24 different beads? (Note: this is different than a standard circular problem.)

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