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defon
3 years ago
14

What type of counting problem is this? How many different sequences of 3 playing cards (from a single 52-card deck) exist?

Mathematics
1 answer:
n200080 [17]3 years ago
7 0

Answer:

Permutation without repetition

Step-by-step explanation:

The order of the cards matter, which makes it a permutation, but since none of the cards are exactly the same, repetition isn't allowed/possible

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Answer:

x   f(x)   g(x)

1    15    3

2    16   4

3    15    5

4    12    6

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Step-by-step explanation:

f(x) = -x² + 4x + 12

f(1) = -(1)² + 4(1) + 12 = 15

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f(6) = -(6)² + 4(6) + 12 = 0

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g(4) = 4 + 2 = 6

g(5) = 5 + 2 = 7

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