Factorials and Permutations

In how many ways can 3 different vases be arranged on a tray?
 

• 3

• 9

• 6

• 12

8!

• 120

• 720

• 5040

• 40320

₁₂P₄

• 24

• 132

• 1320

• 11880

₈P₆

• 48

• 1680

• 6720

• 20160

P₂

• 2

• 12

• 24

• 132

₈P₃

• 1

• 8

• 56

• 336

₅₂P₃

• 52

• 2652

• 132600

• 6497400

 6!

• 120

• 720

• 5040

• 40320

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

• 5

• 3125

• 120

• 25

Find the number of possibilities:
A group of 25 people are going to run a race.  The top 8 finishers advance to finals.

• 625

• 4.36 X 10¹⁰

• 1,081,575