probability of an event

Instruction: Solve the following problems. Write your answer on the space provided. 1. A True or False test consists of 10 questions. If all questions are answered, in how many different ways can this be done? 2. A landline telephone number has 7 digits. How many different landline numbers are possible if it must not start with 0? 3. License plates of automobiles consist of 3 letters of the English alphabet and a three-digit number. How many different license plates are possible? { assume all plates are of the same color) 4. A 10-item multiple choice test has 3 choices for each question. In how many ways can the test be answered completely? 5. An ATM pin consists of 4 digits. How many different pins can be made? 6. In how many ways can 2 boys and 3 girls be seated in a row? 7. In how many ways can 2 boys and 3 girls be seated in a row, if the boys are always seated together? 8. In how many ways can 2 boys are 3 girls be seated in a row if the boys and girls are seated alternately? 9. There are 1- finalists in a beauty pageant. In how many ways can a Beauty Queen, a First Runner-up, and a Second Runner-up be awarded? 10. An organization has 10 members who are qualified to be elected in the positions president, vice president, secretary, treasurer, and auditor. In how many ways can the officers be formed