Permutations, Combinations. & Venn Diagrams CHECK

Front

What is a permutation?

Back

A permutation is an arrangement of objects in a specific order. The order matters in permutations.

Front

What is a combination?

Back

A combination is a selection of objects where the order does not matter. It focuses on the group rather than the arrangement.

Front

How many ways can 3 people be seated in 3 seats?

Back

6 ways (3! = 3 × 2 × 1 = 6).

Front

What is the formula for permutations of n objects taken r at a time?

Back

The formula is P(n, r) = n! / (n - r)!.

Front

What is the formula for combinations of n objects taken r at a time?

Back

The formula is C(n, r) = n! / [r!(n - r)!].

Front

If there are 8 violinists, how many different ways can they be seated?

Back

40320 ways (8! = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 40320).

Front

What does a Venn diagram represent?

Back

A Venn diagram visually represents the relationships between different sets, showing commonalities and differences.

Front

In a Venn diagram, what does the intersection of two sets represent?

Back

The intersection represents the elements that are common to both sets.

Front

How do you determine if a scenario is a permutation or combination?

Back

If the order of selection matters, it's a permutation. If the order does not matter, it's a combination.

Front

What is the total number of students surveyed if 53 students responded?

Back

53 students.