Find the Number of Proper Subsets the Set Has

question 9

Multiple Choice

Find the number of proper subsets the set has. {m, n, p}

• A)8
• B)3
• C)7
• D)6

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Definitions:

Perfect Square Trinomial

A trinomial expression in the form a^2 + 2ab + b^2 or a^2 - 2ab + b^2, which can be factored into (a + b)^2 or (a - b)^2, respectively.

Difference Of Cubes

A formula expressing the subtraction of two cubed numbers as a product of a binomial and a trinomial, specifically a^3 - b^3 = (a - b)(a^2 + ab + b^2).

Trinomial

A polynomial with three terms, typically of the form ax^2 + bx + c.

Difference Of Two Squares

A mathematical expression of the form \(a^2 - b^2\), which can be factored into \((a + b)(a - b)\).