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 one year ago
An ice cream parlor sell ice creams with three different flavors: blue berry, chocolates, and vanilla. How many ways are there to choose a dozen ice creams with at most six vanilla ice creams? (Note: one dozen consists of twelve ice creams).
 one year ago
An ice cream parlor sell ice creams with three different flavors: blue berry, chocolates, and vanilla. How many ways are there to choose a dozen ice creams with at most six vanilla ice creams? (Note: one dozen consists of twelve ice creams).

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wio
 one year ago
Best ResponseYou've already chosen the best response.1I would suggest this method: How many ways are there with exactly 0 vanilla How many ways are there with exactly 1 vanilla How many ways are there with exactly 2 vanilla How many ways are there with exactly 3 vanilla ... How many ways are there with exactly 6 vanilla Then I would add them up.

wio
 one year ago
Best ResponseYou've already chosen the best response.1To find how many ways with n vanilla, we ask: How many ways to distribute 12n ice creams amongst the 2 other flavors

wio
 one year ago
Best ResponseYou've already chosen the best response.1Perhaps something like this?\[ \Large \sum_{n=0}^{6} 2^{12n} \]

askquestion
 one year ago
Best ResponseYou've already chosen the best response.0so 1) if a dozen consist the same flavor? chocolate and blueberry = 2 ways 2) if vanilla = 6, so x+ y = 12 , x for chocolates and y for bluberry? until if vanilla = 0 , so x+y = 12 ?

askquestion
 one year ago
Best ResponseYou've already chosen the best response.02) if vanilla = 6, so x+ y = 6 , x for chocolates and y for bluberry? until if vanilla = 0 , so x+y = 12 ?

wio
 one year ago
Best ResponseYou've already chosen the best response.1You don't wanna think in terms of x+y=6. We aren't solving for the number of chocolates and blueberry. We are finding the total number of combinations.

wio
 one year ago
Best ResponseYou've already chosen the best response.1Can I ask you some questions? You can answer me the best you can.

wio
 one year ago
Best ResponseYou've already chosen the best response.1Suppose I gave you a choice between chocolate ice cream and blueberry ice cream... How many choices do you have?

wio
 one year ago
Best ResponseYou've already chosen the best response.1I mean options, how many options do you have?

askquestion
 one year ago
Best ResponseYou've already chosen the best response.0yeah, i think if x+y = 6 , with times and divide theory, (6+1)! / 6!1! ?

wio
 one year ago
Best ResponseYou've already chosen the best response.1Nope, just answer my questions ok? It'll help you get to the solution.

wio
 one year ago
Best ResponseYou've already chosen the best response.1If I ask you if you want chocolate or blueberry, how many option do you have?

wio
 one year ago
Best ResponseYou've already chosen the best response.1It's not a trick question or anything, you have only 2 options in this case.

askquestion
 one year ago
Best ResponseYou've already chosen the best response.0if must a dozen, right?

wio
 one year ago
Best ResponseYou've already chosen the best response.1If you are going to get 2 ice creams, and you get to chose a flavor for each, how many options do you have?

wio
 one year ago
Best ResponseYou've already chosen the best response.1(We are starting out small and working our way up)

askquestion
 one year ago
Best ResponseYou've already chosen the best response.0oooh , if how many flavors?

wio
 one year ago
Best ResponseYou've already chosen the best response.1There are 2 flavors, and 2 cones. You get to chose a flavor for each cone. How many possibilities are there?

wio
 one year ago
Best ResponseYou've already chosen the best response.1yeah, cause order doesn't matter right?

askquestion
 one year ago
Best ResponseYou've already chosen the best response.0ohyeaaah, i got that

wio
 one year ago
Best ResponseYou've already chosen the best response.1What about if there are n cones.... how many options?

wio
 one year ago
Best ResponseYou've already chosen the best response.1if there are 3 cones... how many options?

askquestion
 one year ago
Best ResponseYou've already chosen the best response.0but i think, in my case, the flavor has given,

askquestion
 one year ago
Best ResponseYou've already chosen the best response.0so, we must think about the order

wio
 one year ago
Best ResponseYou've already chosen the best response.1If you have 6 cones, how many possibilities with 2 flavors?

wio
 one year ago
Best ResponseYou've already chosen the best response.1But having a blueberry and a chocolate isn't any different than having a chocolate and a blueberry... this is what is meant by order doesn't matter.

askquestion
 one year ago
Best ResponseYou've already chosen the best response.0i thinks its different, if 2 blueberry and 1 chocolates, with 2 chocolates and 1 blueberry

askquestion
 one year ago
Best ResponseYou've already chosen the best response.0oke, can give me a time, some bussiness
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