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Solved Examples
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ccc A birthday card can be designed with 9 different messages, 9 different colors and 7 different borders. How many different choices are available to design a birthday card?
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ccc A car manufacturing company launches 5 new models. Each model comes with 4 different interiors and 8 different colors. How many different chioces can a customer have?
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ccc How many different choices do you have to choose an ice cream, milk shake and a soft drink from 8 different ice creams, 4 different milkshakes and 6 different soft drinks? ccc View Solution
ccc A supermarket sells milk bottles in 2 different sizes of 5 different brands. How many different choices does a customer have?
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ccc Danielle bought handbags in 3 different colors (brown, blue and black) with 3 different sizes (small, medium and large) in each color. How many choices of handbags are there?
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ccc How many different code numbers can be created using 1 letter and 3 digits (repetition not allowed)? ccc View Solution
ccc There are 61 positions in a company. Each post has 78 applicants. In how many different ways can you choose an applicant?
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ccc There are 4 bus routes from city P to city Q and 6 bus routes from city Q to city R. In how many ways can you travel from city P to city R passing through city Q?
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ccc Bed spreads made with 3 types of fabric are available in 2 different colors in each fabric. Find the number of ways in which a bed spread can be chosen.
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ccc There are 5 jewelry boxes in a wardrobe. Each jewelry box has 6 jewelry sets. In how many ways can you choose a jewelry set? ccc View Solution
ccc Frank wants to have a sandwich and a glass of juice. A restaurant has 5 different sandwiches and 3 different flavors of juices. In how many ways can Frank choose a sandwich and a glass of juice? ccc View Solution
ccc Each of the 19 supermarkets in a county sell 16 different types of candles. In how many ways can you choose a candle?
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ccc There are 17 community gardens in the vacant plots of a city. Each community garden has 76 plants. In how many ways can you select a plant? ccc View Solution
ccc There are 22 boats sailing in each of the four directions of a lake. Find the number of ways of choosing a boat. ccc View Solution
ccc There are 9 photographs taken from each of the two cameras, camera P and camera Q. Olga wants to choose a photograph. In how many ways can she choose?
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ccc Christina visited 8 music stores. Each music store has a collection of 465 music albums. What are the ways in which a music album can be selected? ccc View Solution
ccc 7 houses in a residential area were under construction and each house has 11 construction workers. In how many different ways can a worker be chosen? ccc View Solution
ccc A birthday card can be designed with 5 different messages, 2 different colors and 7 different borders. How many different choices are available to design a birthday card?
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ccc A car manufacturing company launches 4 new models. Each model comes with 3 different interiors and 7 different colors. How many different chioces can a customer have?
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ccc How many different choices do you have to choose an ice cream, milk shake and a soft drink from 9 different ice creams, 7 different milkshakes and 2 different soft drinks? ccc View Solution
ccc How many different ways a shoe can be selected using the data shown in the table?
StylesFormals / Sports
ColorsBlack / Brown / White
Sizes7 / 8 / 9/ 10
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ccc A supermarket sells milk bottles in 2 different sizes of 2 different brands. How many different choices does a customer have?
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ccc A kite-seller sells 3 sizes of kites(small, medium and large) in 5 different colors(red, blue, yellow, green and orange). How many choices of kites are available?
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ccc 8 houses in a residential area were under construction and each house has 14 construction workers. In how many different ways can a worker be chosen? ccc View Solution
ccc There are 6 jewelry boxes in a wardrobe. Each jewelry box has 10 jewelry sets. In how many ways can you choose a jewelry set? ccc View Solution
ccc There are 69 positions in a company. Each post has 50 applicants. In how many different ways can you choose an applicant?
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ccc There are 6 bus routes from city P to city Q and 9 bus routes from city Q to city R. In how many ways can you travel from city P to city R passing through city Q?
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ccc Bed spreads made with 2 types of fabric are available in 4 different colors in each fabric. Find the number of ways in which a bed spread can be chosen.
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ccc A restaurant offers three choices of appetizers(Stuffed spinach bread, Garlic bread and Three-cheese bread) and three choices of salads(House salad, Spinach salad and Malnati salad). In how many ways can you choose an appetizer and a salad?
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ccc Each of the 11 supermarkets in a county sell 8 different types of candles. In how many ways can you choose a candle?
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ccc There are 14 community gardens in the vacant plots of a city. Each community garden has 62 plants. In how many ways can you select a plant? ccc View Solution
ccc There are 42 boats sailing in each of the four directions of a lake. Find the number of ways of choosing a boat. ccc View Solution
ccc There are 9 photographs taken from each of the two cameras, camera P and camera Q. Hanna wants to choose a photograph. In how many ways can she choose?
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ccc Using the tree diagram, find the number of choices of trees available.
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ccc Ashley visited 8 music stores. Each music store has a collection of 290 music albums. What are the ways in which a music album can be selected? ccc View Solution
ccc A college computer lab wants to identify each computer system by a letter followed by a digit. How many different choices are available to choose to give the identities to each computer system? ccc View Solution
ccc Victor wants to have a sandwich and a glass of juice. A restaurant has 5 different sandwiches and 4 different flavors of juices. In how many ways can Victor choose a sandwich and a glass of juice? ccc View Solution
ccc Find the number of ways of creating an email id with 2 digits and 3 letters.
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ccc How many different code numbers can be created using 2 letter and 4 digits (repetition not allowed)? ccc View Solution
ccc Rachel bought handbags in 3 different colors (brown, blue and black) with 3 different sizes (small, medium and large) in each color. How many choices of handbags are there?
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ccc Find the number of different zip codes possible, if the zip code has 6 digits, each code can start with any digit, and repetition of digits is allowed.
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ccc A balloon-seller has balloons in 3 different sizes(small, medium and large) and 4 different colors(violet, green, yellow and blue). In how many possible ways can you choose a balloon?
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