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# Counting problem

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Alyssa has four marbles: a red one, a blue one, a green one, and a yellow one. In how many different ways can she form a set consisting of some of the marbles if she must choose at least one marble? (In a set of chosen marbles, it does not matter in what order she chose the marbles.)

pls give me a nudge....

Jul 7, 2019

$$\text{She picks 1 to 4 marbles}\\ \text{There are 4 distinct marbles in total so if she picks k marbles \\ there are \dbinom{4}{k} ways to pick them}\\ \text{So how many total ways are there to pick the marbles?}$$