Permutations

6! × 4!

• 17,280
• 30
• 15,625
• 80

How many ways can you arrange 2 letters from the word
S Q U A R E?

• 30
• 140
• 320
• 45

₇P₂

• 0
• 7
• 42
• 210

Tags

CCSS.HSS.CP.B.9

₂₀P₂

• 20
• 380
• 6840
• 116280

Tags

CCSS.HSS.CP.B.9

₁₂P₄

• 24
• 132
• 1320
• 11880

Determine the number of 4-letter arrangements that can be made using the word RHOMBUS.

• 5040
• 35
• 28
• 840

Tags

CCSS.3.OA.D.8

CCSS.4.OA.A.3

CCSS.7.EE.B.3

Members of 6 different school organizations decorated floats for the homecoming parade.  How many different ways can first, second, and third prize be awarded?

• 18
• 120
• 36

Tags

CCSS.HSS.CP.B.9

If there are 5 tuba players and 8 horn players, how many ways can the 15 people stand in a row without any tuba players being next to each other?

• 8! * 9P5 = 609,638,400

• 8! * 9 = 362,880

• 8! = 40,320

• 15!/(5!*8!) = 270,270

5 chairs are exactly the same, 2 love seats are exactly the same, and 3 end tables are exactly the same. How many different ways can they be arranged if the love seats must be together?

• 6!/(2!*3!) = 60

• 10!/(5!*2!*3!) = 2520

• 6! = 720

• 5!*3!*2! = 1440

Ten digit telephone number has a form (XYZ) - ABC-DEFG. In the particular state there are 4 possible area codes (404, 470, 678, and 607). The digit A is restricted to a number 2 through 8. The digits B and C can be any number but they cannot repeat. D,E,F, G have no restrictions. How many phone numbers are possible with these restrictions?  

• 28,800,000
• 25,200,000
• 16,533,720
• 28,000,000