Mathematics, 24.07.2020 02:01 pgjohnston001
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?
10 out of 27,358
1 out of 5,005
1 out of 720
1 out of 3,603,600
Answers: 3
![\left[\begin{array}{c}n&r&\end{array}\right] = \frac{n!}{(n-r)!r!}](/tpl/images/0712/1968/6b3d4.png)
![\left[\begin{array}{c}15&6&\end{array}\right] = \frac{15!}{(15-6)!6!}](/tpl/images/0712/1968/b088d.png)
![\left[\begin{array}{c}15&6&\end{array}\right] = \frac{15!}{9!6!}](/tpl/images/0712/1968/e18db.png)
![\left[\begin{array}{c}15&6&\end{array}\right] = \frac{15 * 14 * 13 * 12 * 11 *10 * 9!}{9! *6 * 5 * 4 * 3 * 2 * 1}](/tpl/images/0712/1968/fec6e.png)
![\left[\begin{array}{c}15&6&\end{array}\right] = \frac{15 * 14 * 13 * 12 * 11 *10}{6 * 5 * 4 * 3 * 2 * 1}](/tpl/images/0712/1968/34698.png)
![\left[\begin{array}{c}15&6&\end{array}\right] = \frac{3603600}{720}](/tpl/images/0712/1968/e9c18.png)
![\left[\begin{array}{c}15&6&\end{array}\right] =5005](/tpl/images/0712/1968/38632.png)
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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...
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