Unit 1.2 Assessment Review

A cafeteria offers 3 main dishes, 2 sides, and 5 drinks. How many different meal combinations can a student order? (Show your work.)

• 30 meal combinations.

• 10 meal combinations.

• 15 meal combinations.

• 20 meal combinations.

A basketball coach chooses 5 starters from a team of 12 players.

• Permutation (P)

• Combination (C)

The order of finish (1st, 2nd, 3rd) in a 10-person track race.

• Permutation (P)

• Combination (C)

Label each situation as a Permutation (P) or Combination (C). (No solving required.) 4. Selecting 3 books to bring on a trip from a shelf of 20.

• Permutation (P)

• Combination (C)

Assigning president, secretary, and treasurer from 25 club members.

• Permutation (P)

• Combination (C)

A music playlist is made by arranging 7 songs from a library of 40 songs. How many different playlists are possible?

• Permutation (nPr): 40P7 = 40! / (40-7)! = 19,907,520 playlists.

• Combination (nCr): 40C7 = 18,643,560 playlists.

• Permutation (nPr): 40P7 = 40! / 7! = 2,903,040 playlists.

• Combination (nCr): 40C7 = 40! / (7! * 33!) = 3,838,380 playlists.

From 15 applicants, a committee of 4 is selected. How many different committees could be formed?

• Combination (nCr): 15C4 = 1,365 committees.

• Combination (nCr): 15C4 = 3,003 committees.

• Combination (nCr): 15C4 = 5,005 committees.

• Combination (nCr): 15C4 = 455 committees.

A locker requires a 3-digit code. If digits cannot be repeated, how many different codes are possible?

• Permutation: 10P3 = 720 codes.

• Combination: 10C3 = 120 codes.

• Permutation: 9P3 = 504 codes.

A die is rolled 12 times. What is the probability that the number “5” appears exactly 4 times?

• Binomial

• Geometric

A student guesses on multiple-choice questions until they get the first one correct.

• Binomial

• Geometric