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A candy store sells 3 different flavors of soda: orange, vanilla, and root beer. An order of soda comes with 4 straw choices: paper, plastic, metal, and cardboard. How many unique ways can you order a soda with a straw? (You can only select one flavor with one type of straw.

Respuesta :

LETS USE COMBINATION AS ORDER IS MANDATORY HERE

[tex]\\ \rm\Rrightarrow ^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]

[tex]\\ \rm\Rrightarrow ^4C_3[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{4!}{3!(1!)}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{4(3!)}{3!}[/tex]

[tex]\\ \rm\Rrightarrow 4ways[/tex]

semsee45

Answer:

12

Step-by-step explanation:

It is helpful to draw a sample-space diagram of all the possible outcomes:

[tex]\large \begin{array}{| c | c | c | c |}\cline{1-4} & orange & vanilla & root\:beer \\\cline{1-4} paper & 1 & 1 & 1 \\\cline{1-4} plastic & 1 & 1 & 1 \\\cline{1-4} metal & 1 & 1 & 1 \\\cline{1-4} cardboard & 1 & 1 & 1 \\\cline{1-4}\end{array}[/tex]

Therefore, there are 12 possible outcomes.

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