\begin{tabular}{l|l} с19 Элементы комбинаторики \\ \hline 1 Сколькими способами можно составить & 2 \\ расписание из 5 уроков на день из 5 & гс \\ различных учебных предметов? & п \\ \hline\end{tabular}

There are 20 buttons in a bag: 8 white buttons, 2 orange buttons, and 10 brown buttons. If one of these buttons is selected at random, what is the probability of selecting either a white or brown button?

10) There are five nickels and five dimes in your pocket. You randomly pick a coin out of your pocket and then return it to your pocket. Then you randomly pick another coin. The first coin is a nickel and the second coin is a dime.

There are 20 buttons in a bag: 8 white buttons, 2 orange buttons, and 10 brown buttons. If one of these buttons is selected at random, what is the probability of selecting either a white or brown button?

A corporation must appoint a president, chief executive officer (CEO), chief operating officer (COO), and chief financial officer (CFO). It must also appoint a planning committee with three different members. There are 15 qualified candidates, and officers can also serve on the committee. Complete parts (a) through (c) below. a. How many different ways can the four officers be appointed? There are \( \square \) different ways to appoint the four officers. b. How many different ways can a committee of three be appointed? There are \( \square \) different ways to appoint a committee of three. c. What is the probability of randomly selecting the committee members and getting the three youngest of the qualified candidates? P(getting the three youngest of the qualified candidates) = (Type an integer or a simplified fraction.)

Modéliser, calculer On tire au hasard deux cartes dans un jeu de 52 cartes. 1. Combien y a-t-il de tirages possibles? 2. Dénombrer les tirages qui comportent un as et un roi. En déduire la probabilité d'un tel tirage. 3. Une paire est un tirage constitué de deux cartes de même hauteur. a. Combien ya-t-il de paires d'as? En déduire le nombre total de paires. b. Calculer la probabilité d'obtenir une paire. 4. Quel est le plus probable : tirer deux cœurs ou tirer une paire?