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There are 10 points in a row.In how many ways can 4 points be selected out of 10 such that no two points are consecutive.??

There are 10 points in a row.In how many ways can 4 points be selected out of 10 such that no two points are consecutive.??

Grade:12th pass

2 Answers

Arun
25750 Points
4 years ago
Suppose we have four green balls, two of which are placed in a box, and six blue balls. Line up the six blue balls in a row. This creates seven spaces, five between successive blue balls and two at the ends of the row. Choose one of these seven spaces for the box with two green balls. Choose two of the remaining six spaces for the other two green balls. Now number the balls from left to right. The numbers on the green balls represent the positions of the selected people. Notice that exactly two of the green balls are consecutive, namely the ones in the box. Hence, there are
 
7C1 * 6Cw = 105
Vikas TU
14149 Points
4 years ago
Dear student 
For more concepts and same examples , Please refer this lnk 
Good Luck 

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