Question

A company is running a contest and offering a first, second, and third prize. First prize is a choice

of a car or $15,000 cash. Second prize is a choice of a motorbike, a trip to New York City, or $2,000
cash. Third prize is a choice of a television or $500 cash.

Determine the number of ways that none of the three prizes selected could be cash.

Answer 1

If cash prizes are to be avoided, then . . .

-- The first prize has to be a car.

-- The second prize can be a motorbike or a trip ... 2 possibilities.
For each of those . . .

-- The third prize has to be a TV.

Since there's no choice with the first or third prizes,
I only see two different ways to avoid a cash prize.