Assignment:
Q1. A club with 10 members is to pick a president, vice president, treasurer, and secretary. If each office is to be held by one person and no person can hold more than one office, in how many ways can those offices be filled?
Q2. Find the value of the following expression:
a. 12P4
b. 12C4
c. 4P4
d. 10P8
e. 10C 8
Q3. A test has 10 true/false questions. How many different tests can be turned in to the teacher?
Q4. A car is available in three types of models and in three types of colors. In how many combinations can you buy the car?
Q5. In how many ways can you make a four letter password from A, B, C, D and E if you are not allowed to repeat characters?
Q6. In how many ways can you choose 7 cards from a deck of 52 cards?
Q7. Use the fundamental counting principle to solve:
How many different four-letter radio stations call letters can be formed if the first letter must be W or K?
Q8. Use the formula for nCr to solve:
A four person committee is to be elected from an organization’s membership of 11 people. How many different committees are possible?
Provide complete and step by step solution for the question and show calculations and use formulas.