Fundamental Principle of Counting

Draw a tree diagram to find the number of ways to choose a sandwich and a drink, if the sandwiches are turkey, ham and cheese and the drinks are soda and lemonade.

What is the number of ways to choose a sandwich and a drink, if the sandwiches are turkey, ham and cheese and the drinks are soda and lemonade.

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List all the possible combinations to determine the number of ways to choose a sandwich and a drink from options including turkey, ham and cheese sandwiches, and soda and lemonade drinks. Consider using the following initials: t = turkey, h = ham, c = cheese, s = soda, l = lemonade.

(a)  

Draw a tree diagram to find the number of ways to choose three digit numbers using the digits 5, 6, and 7, without repeating the digits.

What is the number of ways to choose three-digit numbers using digits 5, 6 and 7, without repeating the digits.

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List all the possible combinations to determine the number of ways to choose three-digit numbers suing the digits 5, 6, and 7, without repeating.

(a)  

Draw a tree diagram to find the number of ways to choose a hat and a coat, if the hats are gray, blue, red, and green and the coats are black and gray.

What is the number of ways to choose a hat and a coat, if the hats are gray, blue and green and the coats are black and gray.

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List all the combinations to determine the number of ways to choose a hat and a coat, if the hats are gray, blue, red, and green and the coats are black and gray.

(a)