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What's the question she got the answer wrong to?
The total number of outcomes of rolling a die = 6
The total number of outcomes of tossing a coin = 2
The total number of possible outcomes of executing both experiments is 6*2=12, which is also the number of leaves (end of the branch of a tree) on a tree diagram.
At most it will have 1 x-intercept
Answer: 362880
The exclamation mark means factorial notation. The rule is we start with the given number, then count down til we get to 1, multiplying all along the way. In this case, we start with 9, then multiply with 8, 7, 6, etc til we get to 1, like so...
9! = 9*8*7*6*5*4*3*2*1 = 362880
Some calculators have a factorial button built in. The button should be labeled with an exclamation mark.