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#1 21. 10. 2012 14:40

stuart clark
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Sum of numbers

Sum of all the numbers that can be formed using all the digits $\bf{2, 3 , 3 , 4 ,4 , 4}$ is

PS ::  can anyone explain to me in detail bcz I have no idea how to solve these Type of Questions.

Thanks

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#2 30. 10. 2012 17:14

Brano
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Re: Sum of numbers

How many numbers end with 4? $\frac{5!}{2!2!1!}=30$.
How many numbers end with 3? $\frac{5!}{3!1!1!}=20$.
How many numbers end with 2? $\frac{5!}{3!2!}=10$.

When we sum all the numbers, what will be the contribution of the last digit? $4\cdot 30+3\cdot 20+2\cdot 10=200$.

The same goes for all other digits, so the answer is $200\cdot 111111=22222200$.

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#3 04. 11. 2012 14:11

stuart clark
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Re: Sum of numbers

Thanks ↑ Brano:

Would You like to explain it to me one more Time

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