Exploring Permutations and Combinations in Number Formation

The video tutorial explores forming three-digit numbers greater than 200 using five digits. It covers two cases: when repetition of digits is not allowed and when it is allowed. For the first case, the tutorial explains how to fill each digit slot, starting with the hundredths place, and calculates the total number of combinations. In the second case, it discusses how repetition affects the number of combinations and demonstrates the calculation process. The tutorial emphasizes understanding conditions and applying combinatorial logic.

What is the minimum digit that can be placed in the hundreds place to form a number greater than 200?

• 1

• 2

• 3

• 4

Tags

CCSS.2.NBT.A.4

How many ways can the tenths place be filled if the hundreds place is already occupied?

• 6

• 5

• 4

• 3

Which digit cannot be used in the hundreds place to form a number greater than 200?

• 3

• 2

• 4

• 1

Tags

CCSS.2.NBT.A.4

How many digits are left to choose from for the units place after filling the hundreds and tenths places without repetition?

• 4

• 5

• 3

• 2

What is the total number of three-digit numbers greater than 200 that can be formed without repeating digits?

• 120

• 100

• 50

• 48

If repetition is allowed, how many digits can be used to fill the hundreds place for numbers greater than 200?

• 4

• 6

• 5

• 3

Tags

CCSS.6.EE.B.6

When repetition is allowed, how many options are there to fill the tenths place?

• 3

• 6

• 4

• 5

Tags

CCSS.6.EE.B.6

Can the same digit be used again in the tenths place if it was used in the hundreds place when repetition is allowed?

• No

• Yes

Tags

CCSS.8.EE.A.2

What is the total number of three-digit numbers greater than 200 that can be formed when repetition is allowed?

• 50

• 120

• 100

• 48

How many ways can the units place be filled when repetition is allowed?

• 6

• 5

• 4

• 3