PERMUTATION AND COMBINATION

Which of the following is the formula for combination?

• $\frac{n!}{\left(n-r\right)!r!}$

• (n - r)!

• $\frac{n!}{p!q!r!}$

• $\frac{n!}{\left(n\ -\ r\right)!}$

Tags

CCSS.HSS.CP.B.9

How many distinguishable permutation are possible with all the letters of the word ELLIPSES?

• 5 040

• 1

• 0

• 5 400

Tags

CCSS.HSS.CP.B.9

Choosing a subset of a set is an example of _______

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.B.9

In a town fiesta a singing competition with 12 contestants, in how many ways can the organizer arrange the first three singers?

• 132

• 990

• 1320

• 1716

Tags

CCSS.HSS.CP.B.9

 $_9P_5$ = ________

• 15 120

• 11 520

• 12 150

• 10 125

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

Find the number of different arrangement of the set j, o , y, f, u, l, taken 3 at a time.

• 120

• 720

• 1

• 0

Tags

CCSS.HSS.CP.B.9

The value of 0! = ____

It is a selection made from a group of items without regards to their order.

• Combination

• Circular Permutation

• Distinguishable Permutation

• Permutation

Tags

CCSS.HSS.CP.B.9

The Racing Club organizes a race in which cars A, B, C, D and E are joined. How many possible race results if there are no ties?

• 120

• 220

• 320

• 420

Tags

CCSS.HSS.CP.B.9

7(0!) = _____

Tags

CCSS.5.NBT.B.5