Exploring Permutations and Combinations

What are the key topics discussed in lesson four from chapter 12?

• Permutations and combinations

• Historical events

• Algebraic expressions

• Geometric shapes

How many unique passcodes can be created using the digits 2, 4, 6, and 8 without repetition?

• 12

• 48

• 16

• 24

What mathematical concept is used to solve the passcode example?

• Logarithms

• Exponential functions

• Quadratic equations

• Factorial

What does the factorial symbol represent?

• Multiplication sequence of descending natural numbers

• Summation of series

• Division of numbers

• None of the above

In the registration code example, what does 'n' represent?

• Total number of possible choices

• Number of combinations possible

• Number of choices used

• Number of permutations possible

How many different registration codes are possible with 7 digits and choosing 5?

• 5040

• 2520

• 120

• 720

What does zero factorial equal to?

• 1

• 0

• 10

• Undefined

What is the difference between a permutation and a combination?

• Order of selection matters in permutations but not in combinations

• Combinations use factorial but permutations do not

• There is no difference

• Permutations are for numbers only, combinations are for objects

Using the combination formula, how many ways can 16 items be chosen in groups of 12?

• 1820

• 1936

• 2024

• 2100

Why should a locker combination be technically called a locker permutation?

• Because the order you enter the numbers matters

• Because it uses numbers instead of letters

• Because it can be easily guessed

• Because it doesn't involve any mathematical concept