Permutations And Combinations

Question
CBSEENMA11014040

Find the number of different signals that can be generated by arranging at least 2 flags in order (one below the other) on a vertical staff, if five different flags are available. 

Solution

Total flags = 5
Number of signals generated, using two flags:
                                     
                            = m x n = 5 x 4 = 20                                ...(i)
                                 Or
Number of signals generated, using three flags:
                                       
                                  = m x n x p = 5 x 4 x 3 = 60              ...(ii)
                                              Or
Number of signals generated, using 4 flags:
                                       
                              
                            = m x n x p x q = 5 x 4 x 3 x 2 = 120.
                                          Or
Number of signals generated, using all 5 flags:
                                        
                           
                             = m x n x p x q x r = 5 x 4 x 3 x 2 x 1 = 120
∴    Total number of signals generated
                             = 20 + 60 + 120 +120 = 320.

                  

Some More Questions From Permutations and Combinations Chapter