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For her birthday, Monica can invite 6 of her 15 student friends to join her at a theme park. If she chooses to invite friends at random, what is the probability that friends Tessa, Guido, Brendan, Faith, Charlotte and Rhianna are chosen? 1 out of 3,603,600 10 out of 27,358 1 out of 5,005 1 out of 720

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Answer:

(C)1 out of 5,005

Step-by-step explanation:

There are a total of 15 student friends.

Monica wants to invite 6 of her friends.

The number of ways this can be done is:

[tex]^{15}C_6=\dfrac{15!}{(15-6)!6!} \\=\dfrac{15!}{9!6!}\\\\=5005[/tex]

Therefore, the probability that friends Tessa, Guido, Brendan, Faith, Charlotte and Rhianna are chosen

[tex]=\dfrac{1}{5005}[/tex]

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