If a tree diagram were drawn to determine the number of possible outcomes when choosing one of 2 shirts, one of 7 ties , and one of 4 jackets, how many leaves would that be?

Number of leaves = 56   

Step-by-step explanation:

Number of shirts to be chosen = 2

Number of tie to be chosen = 7

Number of jackets to be chosen = 4

We need to find the number of leaves if a tree diagram is made by using the above given information.

When making a tree diagram :

Number of shirts chosen = 2

⇒ Number of leaves = 2

Now, choosing one of 7 ties

⇒ Number of leaves = 2 × 7

Then choosing one of 4 jackets

⇒ Number of leaves = ( 2 × 7 ) × 4

Therefore, Total number of leaves in the tree diagram = ( 2 × 7 ) × 4

                                                                                           = 56

Thus, Number of leaves = 56

∠cbe and ∠deb are same-side interior angles.

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step-by-step explanation: