Factorials and Permutation

Evaluate.
 $\frac{\left(8!\ 7!\right)}{12!}$  

• 0.5

• 0.3

• 14/33

• 56

Tags

CCSS.HSS.CP.B.9

"6 objects taken 2 at a time" is the same as

• 6P6

• 2P6

• 6P4

• 6P2

What is the value of 14 objects taken 4 at a time? 14P4

• 24024

• 2184

• 240240

• None of the above

Is 2! + 2! equal to 4!?

• Yes, both sides are equal to 4.

• Yes, both sides are equal to 12.

• No, the left side is 4 but the right side is 12.

• No, the left side is 4 but the right side is 24.

Find the number of arrangements of this set of six letters: j, o, y, f, u, l:

a.) taken two at a time

• 30

• 28

• 26

• 24

Evaluate. $\frac{12P9}{10P8}$  

• 56

• 50

• 48

• 44

In how many ways can THREE RED CARDS be drawn from a standard deck of 52 cards? What is its working equation and answer?

• 3P52 = 132 600

• 3P52 = 6 497 400

• 52P3 = 2 652

• 52P49 = NOT POSSIBLE

• None of the above

What does 13! mean?

• Multiply 13 to itself

• Get the total product of 13 and all the numbers below it until 1

• 13 will be multiplied to 12, 11, ..., lastly, to 0.

• None of the above

How many different ways can the letters of the word MISSISSIPPI be arranged? 11P11 (Do not put any symbol or spaces in your answer)

(a)  

 $\frac{4P2\ +\ 6P3}{3!}$  when evaluated gives an answer of:

• 22

• 32

• 48

• 60