Does the problem involve permutations or combinations? Do not solve.From 8 names on a ballot, a committee of 3 will be elected to attend a political national convention. How many different committees are possible?

A. permutations
B. combinations


Answer: B

Mathematics

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Provide an appropriate response.Multiply two fractions by  the numerators and  the denominators.

A. multiplying; canceling B. adding; multiplying C. multiplying; multiplying D. multiplying; adding

Mathematics

Write the indicated event in set notation.The event that fewer than two men are selected as board members when three board members are selected at random from the following group: Allison, Betty, Charlie, Dave, and Emily. [The possible outcomes can be represented as follows.ABCABDABEACDACEADEBCDBCEBDECDE]

A.
B.
C.
D.

Mathematics

Determine which value(s), if any, must be excluded from the domain of the variable in the expression.

A. x = 6, x = 3 B. x = -6 C. x = 6 D. none

Mathematics

Solve the problem.Determine whether the ordered triple (-2, 6, -1) is a solution of the system of equations.-x + 3y + 4z = 163x + 2y - z = 74x - y + 3z = -17

A. No B. Yes

Mathematics