Solve the Problem. -List All the Combinations of 6 Objects A, B, C

question 46

Multiple Choice

Solve the problem.
-List all the combinations of 6 objects a, b, c, d, e, and f taken 2 at a time. What is C(6, 2) ?

• A) ab, ac, ad, ae, af, ba, bc, bd, be, bf, ca, cb, cd, ce, cf, da, db, dc, de, df, ea, eb, ec, ed, ef, fa, fb, fc, fd, fe C(6, 2) = 30
• B) ab, ac, ad, ae, bc, bd, be, cd, ce, cf, de, df C(6, 2) = 12
• C) aa, ab, ac, ad, ae, af, ba, bb, bc, bd, be, bf, ca, cb, cc, cd, ce, cf, da, db, dc, dd, de, df, ea, eb, ec, ed, ee, ef, fa, fb, fc, fd, fe, ff
• C(6, 2) = 36
• D) ab, ac, ad, ae, af, bc, bd, be, bf, cd, ce, cf, de, df, ef C(6, 2) = 15

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Definitions:

Temperature

A physical quantity that expresses the subjective perceptions of hot and cold, measured typically with thermometers and represented in degrees.

Laboratory Setting

A controlled environment designed for scientific experiments, research, and testing, where conditions can be manipulated to observe effects on variables.

Experimentation Problems

Issues arising during the process of conducting experiments that can affect outcomes, such as biases, uncontrollable variables, or ethical considerations.

Causality

Refers to the analysis of causes and their effects. Specifically, causality means that a change in the independent variable (x) produces a change in the dependent variable (y). In analyzing survey data, we establish causality by demonstrating that an association exists between x and y; x precedes y; and the introduction of a causally prior control variable does not result in the original association disappearing.