Combination Quiz 01

Solve the following questions. These questions focus on different aspects of combinations, including calculating combinations, understanding their applications, and recognizing related concepts. I'll assume you're familiar with the basic formula for combinations: nCr = n! / (r!(n-r)!), where n is the total number of items and r is the number of items chosen.   1. How many ways can you choose a committee of 4 people from a group of 11?   2. A pizza place offers 6 toppings. How many different 3-topping pizzas can you order?   3. A d…

Factorial Quiz 01

A. Solve the following. Remember that the factorial of a non-negative integer n, denoted by n!, is the product of all positive integers less than or equal to n. 0! is defined as 1. 1: What is 7!? 2: Calculate 10!. 3: Simplify 11!/8! 4: Evaluate 8!/(4!5). 5: Solve for n: n! = 1,440 6: What is the value of 7!/(3!5!)?7: Simplify (n+3)!/n!. 8: Find the value of 13!/(11!3!). 9: If n!/(n-2)! = 20, find n. 10: What is the value of 1!? B. Solve the following Factorial word problems:   1: A foreman wants to arrange his 7 carpenters in a row f…

Permutation Quiz 01

Directions: Solve the following permutations. 1. In how many ways can letters of the set{A, B, C, D, E, F, G} be arranged to form ordered codes of 4 letters? (Repetition is not allowed) 2. In how many ways can 7 different cars be parked in a row? 3. How many 4-numbered license plates can be made using the digits 0 to 9 if repetition is allowed? 4. In how many ways can the numbers of the set {1, 2, 3, 4, 5, 6,7, 8 & 9} be arranged to form all possible 4-digit numbers? 5 & 6. Find the permutations of the letters of the following: a. TAYTAY b. BA…