Permutation and Combinations Funflashcard

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 different vases be arranged on a tray?

Back

6

Front

If there are 6 roads from Ponder to Justin, 2 roads from Justin to Halslet, and 3 roads from Haslet to Saginaw, how many possible routes are there from Ponder to Saginaw?

Back

36

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

Find the number of possibilities for ranking the top 5 runners when a group of 15 people race.

Back

360,360

Front

Ambry must submit 4 paintings as part of her application to art school. If she has 25 to choose from, how many ways can she pick 4?

Back

12,650

Front

What is the difference between permutations and combinations?

Back

Permutations consider the order of selection, while combinations do not.

Front

In how many ways can you choose 2 fruits from a basket of 5 different fruits?

Back

10 (using the combination formula C(5, 2)).