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Cerrena [4.2K]
3 years ago
12

Which of the following represents a combination? Select all that apply.

Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
3 0

Answer:

Combinations:

A committee consisting of three members with the same role

Selecting two sandwiches from a menu of 10

Step-by-step explanation:

A combination is a selection of items from a collection, such that the order of selection does not matter.

A permutation is a selection of items from a collection, such that the order of selection matters.

A. The PIN for a bank or credit card - order matters → permutation

B. A committee consisting of three members with the same role - order does not matter → combination

C. A committee consisting of a president, vice president, and secretary - order matters → permutation

D. Final standings in a professional sports league - order matters → permutation

E. Selecting two sandwiches from a menu of 10 - order does not matter → combination

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lapo4ka [179]

Answer:

a = 6

Step-by-step explanation:

Hello!

Solve:

  • 4(3a - 4) = 56
  • 3a - 4 = 14          (factoring out 4)
  • 3a = 18               (adding 4 to both sides)
  • a = 6                   (dividing by 3)

Another way:

  • 4(3a - 4) = 56
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  • 12a = 72               (moving like terms)
  • a = 6                    (dividing by 12)

Distributive Property of Multiplication:

The process of distributing the outside factor to the terms in the parenthesis.

Example:

4(3a - 4)\\\\4(3a) - 4(4)\\\\12a - 16

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