Single And Compound Events

                     Lesson 1

                                                                                                                       

                                                             Problem:                   How many different 6-letter arrangements are there of the letters in the word FOCUS?

                                                             Step 1:                    There are total five letter positions;

                                                 

                                     At first place any of the five letters can be placed

 

                                                                                 Step 2:                          At second place any letter can be placed from the remaining four letters and so on. 

                                                                                                                                          

                                                                                 

                                                                                 Solution                          So total possible arrangements are 6 x 5 x 4 x 3 x 2 x 1 = 6! = 720

                                                             Step 3:    

                                                                                                  

 Solution                     The answer is:  720

 Step 4:                                                                      

 Complete                                                                   

                                                                                                                               

                                                             Try two practice problems:  

 

                                                                                               Do the following:                                                                                          

A.

How many different 4-letter arrangements are there of the letters in the word FEAR?

B.

How many different three-digit numerals can be written using all of the following three digits: 7, 8, 5.

 

 

                                                                                                        

 

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