permutation and combination

A Mathmatics test contains five different questions labeled A, B, C, D, and E. You are supposed to choose 2 to answer. How many different ways are there to do this?

• 5

• 10

• 15

Tags

CCSS.HSS.CP.B.9

Benedic wants to order a sandwich with two of the following ingredients: mushroom, eggplant, tomato, and avocado. How many different sandwiches can Benedic choose?

• 8

• 6

• 4

Tags

CCSS.HSS.CP.B.9

Veronica is stringing 3 different types of beads on a bracelet. How many ways can she string the next three beads if they must include one bead of each type?

• 1

• 3

• 6

A group of 8 swimmers are swimming in a race. Prizes are given for first, second, and third place. How many different outcomes can there be?

• 336

• 56

• 24

Tags

CCSS.HSS.CP.B.9

Four students need to be selected from a class

of 15 to help clean up the campus. How many different ways can the 4 students be chosen?

• 32 760

• 60

• 1 365

Tags

CCSS.HSS.CP.B.9

Four students need to be selected from a class of 15 to help clean up the campus. How many different ways can the 4 students be chosen, if the only two girls refuse to help?

• 715

• 1 365

• 120

Find the number of words, with or without meaning, that can be formed with the letters of the word ‘CHAIR’.

• 5

• 3125

• 120

• 25

Tags

CCSS.HSS.CP.B.9

How many ways can a club select a president, vice president, and a secretary from a group of 5 people?

• 12

• 60

• 15

• 125

Tags

CCSS.HSS.CP.B.9

₂₀P₂

• 20
• 380
• 6840
• 116280

Tags

CCSS.HSS.CP.B.9

7!

• 4050
• 5400
• 5040
• 4500