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# Help very quickly

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It is Tim's 4 th birthday and he has a cake with 4 candles on it. Tim makes a wish and tries to blow out the candles. Every time he blows, Tim blows out some number of candles between 1 and the number that remain, including both 1 and that number. How many ways are there for Tim to blow out the candles on the cake?

Feb 25, 2020
edited by Guest  Feb 25, 2020

#1
-1

Feb 25, 2020
#2
-1

like in 2 min

Guest Feb 25, 2020
#3
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$$\text{It sounds like your asking for the number of ways you can partition the integer 4}\\ \text{using the digits 1, 2, 3, and 4}\\ (1,1,1,1)\\ (2,1,1) \text{ and it's other 2 permutations}\\ (2,2)\\ (1,3) \text{ and it's other permutation}\\ (4)\\ \text{for a total of 1+ 3+1+2+1 = 8}$$

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Feb 25, 2020
#4
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24-1=8

Mar 3, 2020