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Ben wants to buy a new collar for each of his 5 dogs. The collars come in a choice of 9 different colors. Step 1 of 2 : How many selections of collars for the 5 dogs are possible if repetitions of colors are allowed

Sagot :

MrRoyalidn

Answer:

59049 ways

Step-by-step explanation:

Given

[tex]Colors = 9[/tex]

[tex]Dogs = 5[/tex]

Required

Determine number of selection (repetition is allowed)

The number of collars is not given.

So, we'll assume that there are enough collars to go round.

If no repetition is allowed, each of the 5 dogs have 9 colours to select from.

i.e.

[tex]Dog\ 1 = 9[/tex]

[tex]Dog\ 2 = 9[/tex]

[tex]Dog\ 3 = 9[/tex]

[tex]Dog\ 4 = 9[/tex]

[tex]Dog\ 5 = 9[/tex]

So, the number of selection is:

[tex]Selection = 9 * 9 * 9 * 9 * 9[/tex]

[tex]Selection = 59049[/tex]

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