Vincen wrote:Jerry has 3 flavors of ice cream in his parlor. How many options are there for George to pick a one-flavor, two-flavor or three-flavor order?
A. 2
B. 3
C. 4
D. 7
E. 8
Alternate approach 1:
Number of options for the first flavor = 2. (Chosen or not chosen).
Number of options for the second flavor = 2. (Chosen or not chosen).
Number of options for the third flavor = 2. (Chosen or not chosen).
To combine these options, we multiply:
2*2*2 = 8
Of these 8 options, one is not viable: if all 3 flavors are NOT chosen.
Subtracting the one inviable option from the total, we get:
8-1 = 7
The correct answer is
D.
Alternate approach 2:
Since the answer choices are small, we can quickly list all of the possible options.
Let the 3 flavors be A, B and C.
Ways to choose 1 or more flavors:
A
B
C
AB
AC
BC
ABC
Total ways = 7
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