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

askquestion
 2 years 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
 2 years 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
 2 years 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
 2 years ago
Best ResponseYou've already chosen the best response.1Can I ask you some questions? You can answer me the best you can.

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

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

wio
 2 years 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
 2 years 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
 2 years ago
Best ResponseYou've already chosen the best response.0if must a dozen, right?

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

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

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

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

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

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

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

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

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

wio
 2 years 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
 2 years 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
 2 years ago
Best ResponseYou've already chosen the best response.0oke, can give me a time, some bussiness
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