Question:

I have 2 Flavors of Ice Cream and 30 different toppings how many different combinations can I Make?

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I want the answer and also The formula on how to answer this Question.

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  1. here it is (really long )

    use binomial probability to calculate combos

    formula = (2C1+2C2)*(30C1+30C2+30C3+30C4+30C5+.... 30C30)

    hope this helps  


  2. 60

    for this one just do 2 times 30 but it gets harder the more combinations.


  3. it depends on how many toppings you can add to a single ice cream.

    60 is the correct answer if you can only add one topping.  

  4. This is a very interesting question.

    The number of ice cream combinations is 3..   A, B and A+B

    The number of topping combinations is huge

    There are 30  1 flavor combinations

    There are, I believe,  30 *29/2   2 flavor combinations (You divide by 2 because topping A plus topping B is the same as topping B plus topping A)

    Then 30 * 29 * 28/ (2*3)   3 flavor combinations

    And so on until there is 1 30 topping flavor combination

    You get the idea.   There may be some elegant formula to calculate the total number of combinations but I don't know it.   Rather,  it is the number of ice cream combinations  3  times the number of topping combinations (huge)

  5. you just multiply 30x2. 30 being the toppings and 2 the ice cream flavors. because if you put each topping on each flavor once, you'll get 60 different combinations.

  6. 60 and you take the number of topping you can put on 1 and keep doing for more amounts

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