1.A prospective buyer of a new car can choose between manual or automatic transmission and can also choose from 4 colors; red, blue white and green. How many choices does the buyer have?
2.A morning snack consists of a drink and a sandwich. You may choose from coffee, milk or juice for the drink and ham or tuna for the sandwich. How many possible snacks are there?
3.AJ bag factory manufactures ladies bags in 8 styles, 6 colors and 4 sizes. How many bags are available?
4.A car license plate consists of any 3 letters followed by any 3 digits.
a) How many license plates are there?
b) If the letters and digits are not repeated?
c) A witness to a hit-and-run accident told the police that the plate number of the suspect’s car contained the letters X L followed by a different letter and then followed by a three different digits, the first of which is 4. The witness cannot recall the last two digits but is certain that all 3 digits are different. Find the maximum number of car registrations that the police may have to check.
5.In how many ways can a clown distribute 10 balloons with different colors to 5 children if each child gets only one balloon?
6.How many 11-digit cellphone numbers can be formed if each cell number begins with 0998?
7.If there are 7 doors to a room, in how many ways can a person enter and leave by a different door?
8.A pizza can be ordered with 3 choices of size, 4 choices of crust and 5 choices of toppings. How many one-topping pizza can be ordered?
9.You are taking a multiple choice test with 10 questions, each has four choices.
a) In how many ways can you mark your answers to the test?
b) How many ways can a student get a zero?
Exercises:
1)Cars are offered for sale with 3 body styles, 6 colors, 3 types of engines, with or without airbag, with or without aircon and ordinary rim or magwheels. How many different choices does a buyer have?
2)An ice cream sundae can be made from the flavors (chocolate, strawberry, mango, ube, cheese or vanilla), 3 toppings and with or without cream. How many ice cream sundaes can a customer order?
3)A food chain serves 3 appetizers, 5 main dishes, 2 salads and 4 desserts. How many different meals can be ordered?
4)How many car license plates can be made if each has 3 different digits followed by 2 different letters?
5)How many car license plates can be made if each must have one letter (not J nor A), followed by any 4 digits, followed by a different letter (not J nor A)?
6)How many 4-digit numbers can be formed from the digits 1, 2, 3, 4 and 5 if digits can be repeated?
7)How many 4-digit numbers can be formed from the digits 0, 1, 2, 3, 4 and 5 if digits can be repeated?
8)How many 4-digit numbers can be formed from the digits 1, 2, 3, 4 and 5 if no digits are repeated?
9)How many 4-digit numbers can be formed from the digits 0, 1, 2, 3, 4 and 5 if no digits are repeated?
10)How many 4-digit even numbers can be formed from the digits 0, 1, 2, 3, 4 and 5 if digits can be repeated?
11)How many 4-digit even numbers can be formed from the digits 0, 1, 2, 3, 4 and 5 if no digits are repeated?
12)A test consists of 10
true or false questions followed by 10 multiple choice questions, each with 5 choices. How many ways can Femarie mark her answers to this test?

13)How many 7-digit telephone numbers are possible if the first digit is not 0 and the last two digits are 0? mo​