SOLUTION: Omar wants to buy a double scoop ice cream cone. His favorite flavors are vanilla, strawberry, raspberry, and chocolate. A combination with both scoops of raspberry represents ___

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Question 187980: Omar wants to buy a double scoop ice cream cone. His favorite flavors are vanilla, strawberry, raspberry, and chocolate. A combination with both scoops of raspberry represents ___ out of ___ possible combinations.



Please show all combinations and work so we can understand. Thank You kindly.

Courtneys Mom
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
Omar can have his double scoop either mixed (two flavors) or unmixed (one flavor)

there are 4 flavors, so there are 4 unmixed combinations

each of the four flavors can be combined with three other flavors, for a total of 4*3 or 12 mixed combinations

BUT . . . half of the mixed combinations are duplicates -- vanilla & raspberry is the same as raspberry & vanilla
. . . so there are really only 6 mixed combinations

4 unmixed and 6 mixed gives a total of 10 possible combinations