Combination, Permutation, or Counting Principle | Baamboozle - Baamboozle

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A teacher needs to select 3 students from their class of 25 carry items to the main office.

Combination, ₂₅C₃ = 2300

How many ways can a phone with 10 digits be set with a 4 digit code?

Permutation, ₁₀P₄ = 5040

Only 6 cheerleaders out of 20 are allowed to cheer at the basketball game.

Combination, ₂₀C₆ = 38760

How many ways can be a burger be made given 3 bun options, 2 meat, and 5 condiments?

Counting Principle, 3 ∙ 2 ∙ 5 = 30

Only the top 5 runners out of 30 get to advance to finals.

Combination, ₃₀C₅ = 142506

How many ways can the letters HAWT be arranged?

Counting Princple, 4 ∙ 3 ∙ 2 ∙ 1 = 24 (Permutation also acceptable)

Seven athletes are competing for Gold, Silver and Bronze.

Permutation, ₇P₃ = 210

How many ways can a Captain and Co-Captain be determined from a team of 8?

Permutation, ₈P₂ = 56

The number of ways Lego bricks can be stacked given one yellow, one blue, one red, and one green

Counting, 4 ∙ 3 ∙ 2 ∙ 1 = 24 (Permutation also acceptable)