Question

Kim wants to arrange chocolate, vanilla, and pineapple cakes in a row on a table. Which tree diagram best shows the sample space of all the possible ways to arrange the three cakes in a row on a shelf, where C is chocolate, P is pineapple, and V is vanilla?

Answer 1

A tree diagram is shown. The lines branch out to C, P, and V. In the first row, the lines branch out from C to V to C and from C to P to V. In the second row, the lines branch out from P to C to V and from P to V to P. In the last row, the lines branch out from V to C to P and from V to P to C.
A tree diagram is shown. The lines branch out to C, P, and V. In the first row, the lines branch out from C to V to P and from C to P to V. In the second row, the lines branch out from P to C to V and from P to V to C. In the last row, the lines branch out from V to C to P and from V to P to C.
A tree diagram is shown. The lines branch out to C, P, and V. In the first row, the lines branch out from C to V to P and from C to P to V. In the second row, the lines branch out from P to C to P and from P to V to C. In the last row, the lines branch out from V to C to V and from V to P to C.
A tree diagram is shown. The lines branch out to C, P, and V. In the first row, the lines branch out from C to V to P and from C to P to C. In the second row, the lines branch out from P to C to V and from P to V to C. In the last row, the lines branch out from V to C to P and from V to P to V.