Review Test in Mathematics

Front

A bakery offers 3 types of bread (B1, B2, B3) and 4 types of fillings (F1, F2, F3, F4). A customer chooses one bread and one filling for a sandwich. How many different sandwiches can the customer make?

Back

(3)(4)

Front

How many different outfits can a customer choose from 4 shirt styles (S1, S2, S3, S4) and 3 pants styles (P1, P2, P3)?

Back

12 outfits (4 shirts x 3 pants)

Front

A classroom has 5 students: Alice, Bob, Clara, David, and Emily. They want to line up for a photo. What type of permutation is used to calculate the number of arrangements when all 5 students are distinct?

Back

Distinct permutation

Front

Which situation illustrates repeated permutation?

Back

Forming a license plate with 3 letters and 3 digits and repetition is allowed

Front

A basketball coach needs to select 3 players from a group of 8 to form a lineup. Who is correct and why?

Back

Miguel is correct because he is using the formula for permutations of selecting 3 players from 8 which is appropriate when the order of selection matters.

Front

A company manufactures necklaces with 6 beads: 2 red, 2 blue, and 2 yellow beads. How many unique arrangements can the beads be arranged in a straight line?

Back

90

Front

Four friends are sitting around a circular table: Anna, Ben, Carla, and Dan. How many distinct seating arrangements are possible?

Back

6

Front

Who is correct in calculating the number of distinct possible 4-character passwords using letters A-Z with repetition allowed?

Back

Gideon is correct because for each of the 4 positions, there are 26 possible choices, so the total number of possible passwords is 26^4.

Front

A teacher chooses 4 out of 10 questions for a quiz and wants to determine the order in which they will appear. How many distinct arrangements are possible?

Back

5,040

Front

How many distinct 4-digit numbers can be formed using the digits 1, 2, 3, 4, and 5, if repetition of digits is not allowed?

Back

120