MathematicsIf a person moves either 1unit in the direction of positive x-axis or 1unit in the direction of positive y-axis per step, what is the number of steps he requires to reach (10,12)starting from the origin (0,0)?

If a person moves either 1unit in the direction of positive x-axis or 1unit in the direction of positive y-axis per step, what is the number of steps he requires to reach (10,12)starting from the origin (0,0)?


  1. A
    10
  2. B
    12
  3. C
    22
  4. D
    120  

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    Solution:

    It is said that a person moves either 1unit in the direction of the positive x-axis or y-axis.
    From the origin, the number of steps in x-axis =10 steps.
    From the origin, the number of steps in y-axis =12 steps.
    Total number of steps required will be 10+12=22steps.
    If a person moves either 1 unit in the direction of positive x-axis or 1 unit in the direction of positive y-axis per step, then the number of steps he requires to reach (10,12) starting from the origin (0,0) is 22.
    Therefore, option 3 is correct.
     
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