hemiiI8675

15 Questions
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Algebra

Let
f(x) = \sqrt[3]{x + \sqrt[3]{x}}
Find the largest three-digit value of x such that f(x) is an integer.

hemiiI8675 09.01.2025, 15:28

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Counting

There is a group of five children, where two of the children are twins. In how many ways can I distribute $8$ identical pieces of candy to the children, if the twins must get at least one piece of candy each?

hemiiI8675 09.01.2025, 14:34

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Counting

In how many ways can you distribute $8$ indistinguishable balls among $2$ distinguishable boxes, if at least one of the boxes must be empty?

hemiiI8675 09.01.2025, 14:34

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+60

Counting

Find the number of ways of choosing three circles below, so that no two circles are next to each other.

hemiiI8675 09.01.2025, 14:34

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+60

Algebra

Let a be a real number such that a - \frac{1}{a} = 1. Compute a^3.

hemiiI8675 08.01.2025