Solutions Data Analysis

Q.1 – Q.2 ,   Q.3 – Q.4  Q.5  ,  Q.6 ,  Q.7  , Q.9 , Q. 10  , Q. 11  Q.12 ,   Q.13 , Q. 14 , Q. 15   Q.16 to Q. 19

 Answer 6

There are five letters

Letters can be ordered in  5! Ways

5!    = 5 x 4 x 3 x 2 x 1

      = 120

Answer 7

There are five seats and FIVE members

Total ways possible = 120

The number of ways  Martha can sit  in the middle seat = (5-1)!

= 4!

= 4 x 3 x 2 x 1

                            = 24                              

Answer 8

Three digit number  means , numbers  between 100  999.

Choices possible for first digit  from  0 , 1 , 2 , 3 ,  4 , 5 , 6 , 7 , 8 , 9

As ‘0’ cannot be at the first place  and ‘5’ is not to be considered ; the possible options could be 1 , 2 , 3, 4 , 6 , 7  , 8

Total 8 choices possible for integer at first place

Choices possible for second digit from  0 , 1 , 2 , 3 ,  4 , 5 , 6 , 7 , 8 , 9

‘9’ possible options as ‘5’ cannot be considered

The choices available for third digit are  1 , 3 , 5, 7 ,9 , as the integer   to be  odd

Total ‘4’ choices possible

So, total 3-digit positive odd integers which do not contain digit’5’ will be = 8 x 9 x 4

                                                                                                    = 288

                                                                                                                         

Q.1 – Q.2 ,   Q.3 – Q.4  Q.5  ,  Q.6 ,  Q.7  , Q.9 , Q. 10  , Q. 11  Q.12 ,   Q.13 , Q. 14 , Q. 15   Q.16 to Q. 19

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