Question

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

Answer 1

(C)1 out of 5,005

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:

`^(15)C_6=(15!)/((15-6)!6!) \\=(15!)/(9!6!)\\\\=5005`

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

`=(1)/(5005)`