Using 9 flavors of ice cream, how many cones with 3 different flavors can you cr

Question

Using 9 flavors of ice cream, how many cones with 3 different flavors can you create if it is important to you which flavor goes on the top, middle, and bottom

An ice cream store sells 2 drinks, in 5 sizes, and 4 flavors. In how many ways can a customer order a drink?

A health inspector must visit 4 of 12 restaurants on Monday. In how many ways can she pick the 4 restaurants?

How many different two -letter passwords can be formed from the letters A, B, C, D, E and F if no repetition of letters is allowed?

Explanation / Answer

Question 1: first flavor can be filled in in 9 ways, 2nd in 8 ways and 3rd in 7 ways. Thus the answer is 9*8*7= 504

Question 2: 2*5*4=40 ways

Question 3: She can pick up in 12C4 ways which is 495

Question 4: first can be filled in 6 ways, second in 5 ways so total 6*5=30 ways

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