Permutations & Combinations Practice

Match the following

Groups:

(a) Permutations

,

(b) Combinations

• Order Matters

• Order doesn't matter

• nPr

• nCr

• group members by title or classify

• a group of individuals

A standard-issue 2014 New Jersey license plate had three digits followed by three letters. These plates were not allowed to have letters D,T, or X in the fourth position, or the letters I, O, or Q in any position. With these restrictions, how many different license plates were possible in 2014?

Mathematical Equivalence

ON

Suppose you have 6 homework assignments to complete one night. In how many different orders can you complete all of the assignments?

Mathematical Equivalence

ON

Declan has 12 songs on his Spotify playlist. He is going for a run and has time to listen to 8 songs while he runs. Declan decides to use the apps random shuffle feature to determine which songs will play, and in what order. (The random shuffle feature does not allow any song to be played twice.) How many different lists of 8 songs are possible?

Mathematical Equivalence

ON

A soccer team has 11 players on the field at the end of a scoreless game. According to league rules, the coach must select 5 of the players and designate an order in which they will take penalty kicks. How many different ways are there for the coach to do this?

Mathematical Equivalence

ON

At the end of a weeklong seminar, the presenter decides to give away signed copies of his book to 4 randomly selected people in the audience. How many different ways can this be done if 30 people are present at the seminar?

Mathematical Equivalence

ON

The Transportation Security Administration (TSA) is responsible for airport security. On some flights, TSA officers randomly select passengers for an extra security check prior to boarding. One such flight had 76 passengers -- 12 in first class and 64 in economy class. Some passengers were suspicious when all 10 passengers chosen from screening were seated in economy class. Find the probability that all 10 passengers chosen for screening were seated in economy class. (Round a decimal to the nearest hundredth.)

Mathematical Equivalence

ON