Below are some tough word problems that require both close reading and sharp problem solving skills. To make these already difficult questions even more fiendish, I’ve made each a Numeric Entry question (sorry, no cool boxes). In some of the questions below, there are a few possible solution paths, some more elegant than others. If you are feeling brave, share your answer(s) and how you got there.

Good luck!

Numeric Entry Questions

1.

Set S consists of the integers from -1 to 5, inclusive. If N is the product of three distinct members of Set S, how many unique values of N are there?Numeric Entry ____________

2.

A combination lock has three dials, each consisting of a single digit, 0-9. The lock can be opened only if each dial is in the correct position. If the code for the lock consists of three prime numbers, what is the probability that 252 is the code? (Provide answer in fraction form).Numeric Entry ___________

3.

Twelve doctors are to be selected by hospital staff to sit on a six-person committee. Within that committee, an additional subcommittee of three doctors will be formed. How many unique sub-committees are possible?Numeric Entry ____________

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