Combinations and NCR Problems Quiz

What is the main problem Thomas is trying to solve in the video?

• How to calculate the price of a pizza

• How to choose two toppings from a list of 12

• How to bake a pizza

• How to make a pizza from scratch

In the context of NCR problems, what does 'N' represent?

• The result of the combination

• The number of items to choose from

• The number of items being combined

• The number of combinations

What is the factorial of a number?

• The product of all numbers up to that number

• The difference of all numbers up to that number

• The division of all numbers up to that number

• The sum of all numbers up to that number

How many ways can Thomas combine two toppings from 12 options using the NCR formula?

• 144

• 66

• 24

• 12

What is the first step in the shortcut method for solving combinations?

• Subtract the number of items being combined

• Calculate the factorial of the total items

• Multiply the total items by the number of combinations

• Write the total number of items to choose from

When using the shortcut method, how many numbers do you use from the factorial for the numerator?

• Only the middle R numbers

• Only the last R numbers

• Only the first R numbers

• All numbers up to N

In the example with the word 'triangle', how many unique letters are there?

• 8

• 6

• 9

• 7

Using the shortcut method, how many ways can you combine four letters from 'triangle'?

• 56

• 70

• 24

• 84

What happens to the denominator in the shortcut method after cancellation?

• It becomes zero

• It remains unchanged

• It becomes one

• It doubles

What is the final step in solving a combination problem using the shortcut method?

• Subtract the denominator from the numerator

• Divide the numerator by the denominator

• Multiply the remaining numbers in the numerator

• Add all the numbers in the numerator