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A full binary tree of height 4 has 15 nodes, as pictured below.

The 8 nodes at the bottom of the tree are called end nodes or leaf nodes. Two ...

\[ \large 1 = x^2+x^3+x^4+\ldots \]

Find the sum of value(s) of \(x\) satisfying the equation above. Give your answer to 3 decimal places.

If a \(9\) digit number is formed using the digits \(1\) to \(9\) without repitition and if the probability that they will be divisible by \(11\) is ...

In each cell of the following \(7\times7\) square table, write one of the numbers \(1,2,3,4,5,6,7\) such that the numbers in each row and ...

\[ \large ((a+b)+(c+d)) \\ \large (( (a+b)+c) + d) \\ \large ( (a+(b+c)) + d ) \\ \large ( a+(b+(c+d))) \\ \large (a + ((b+c)+d) ) \]

Suppose I'm given 4 ...

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