Combinations and Permutations Problems

The video tutorial covers permutations and combinations, starting with basic examples using the word 'ant' and advancing to more complex problems. It introduces a systematic method for solving permutation problems, explains the concept of factorials, and provides calculator shortcuts. The tutorial differentiates between permutations and combinations, using practical examples to illustrate these concepts. It concludes with various applications, including arranging books, creating codes, and selecting groups.

How many different ways can you arrange the letters in the word 'ANT'?

• 6

• 4

• 3

• 5

What is the factorial of 3?

• 12

• 9

• 3

• 6

How many ways can you arrange the letters in the word 'CHRIS'?

• 60

• 120

• 240

• 360

What is the main difference between permutations and combinations?

• Both are the same

• Order matters in combinations

• Order matters in permutations

• Neither involves order

How many ways can you choose 3 people from a group of 15?

• 120

• 455

• 336

• 210

How many ways can you assign a president, vice president, and treasurer from a group of 15?

• 2730

• 1365

• 455

• 120

How many different 3-digit lottery numbers can be formed if digits can repeat?

• 100

• 500

• 1000

• 1500

How many ways can 5 different textbooks be arranged on a shelf?

• 240

• 120

• 60

• 360

How many different student ID codes are possible with 3 letters followed by 3 numbers?

• 17,576,000

• 20,000,000

• 15,600,000

• 1,000,000

How many different groups of 3 can be selected from 10 students?

• 120

• 210

• 336

• 720