Question

Gabby is buying flowers for a friend. She can choose daisies, carnations, or sunflowers. She can put the flowers in a clear, red, or blue vase. Which table shows all of the possible combinations?.

Answer 1

Combination tells the number of ways an object can be arranged. The number of all of the possible combinations Gabby can have is 9.

What is Combination?

The combination helps us to know the number of ways an object can be arranged without a particular manner. A combination is denoted by 'C'.

$^nC_r = \dfrac{n!}{r!(n-r)!}$

where,

n is the number of choices available,

r is the choices to be made.

We know that the number of options of the flower with Gabby is 3( daisies, carnations, or sunflowers) and the color choices she has is (clear, red, or blue), therefore, she $^3C_1$ choices for the flower, also, she has $^3C_1$ choices for color.

$\text{Total number of choices with Gabby} = \text{Choices of flower} \times \text{Choices of color}$

                                                         $= ^3C_1 \times ^3C_1 \\\\= 9$

Hence, the number of all of the possible combinations Gabby can have is 9.

Learn more about Combination:

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