[" In how many shortest ways can we reach from the point "],[(0,0,0)" to point "(3,7,11)" in space where the movement "],[" is possible only along the "x" -axis,"y" -axis,and "z" -axis or "],[" parallel to them and change of axes is permitted only at "],[" integral points? (An integral point is one,which has its "],[" coordinate as integer.) "]

Number of shortest ways in which we can reach from the point (0,0,0) to point (3.7,11) in space where the movement is possible only along the x-axis,y axis and z-axis or parallel to them and change of axes is permitted only at integral points (an integral point is one which has its coordinate as integer) is

Number of shortest ways in which we can reach from the point (0, 0, 0) to point (3.7, 11) in space where the movement is possible only along the x-axis, y axis and z-axis or parallel to them and change of axes is permitted only at integral points (an integral point is one which has its coordinate as integer) is

Number of shortest ways in which we can reach from the point (0, 0, 0) to point (3.7, 11) in space where the movement is possible only along the x-axis, y axis and z-axis or parallel to them and change of axes is permitted only at integral points (an integral point is one which has its coordinate as integer) is

ided in 100 19g ts 8, 7, 6, 13. umber of shortest ways in which we can reach from the point (0, 0, 0) to point (3.7, 11) in space where the movement is possible only along the r-axis, y axis and z-axis or parallel to them and change of axes is permitted only at integral points (an integral point is one which has its coordinate as integer) is equivalent to number of ways of dividing 21 different a. objects in three groups of size 3 7, 11 b. equivalent to coefficient of y z in the expansion of c. equivalent to number of ways of distributing 21 different objects in three boxes of size 3, 7, 11 d. equivalent to number of ways of arranging 21 objects of which 3 are alike of one kind, 7 are alike of second type and 11 are alike of third type only one Stateme a. b. d. S 1. Stat abc Stat dist 2. Stat

Number of shortest ways in which we can reach from the (0, 0, 0) to point (3,7. 11) in space where the movement ided in 100 is possible only along the r-axis, y axis and z axis or parallel to them and change of axes is permitted only at integral points (an integral point is one which has its coordinate as integer) is a. equivalent to number of ways of dividing 21 different objects in three groups of size 3,7, 11 b. equivalent to coefficient of y z? in the expansion of its 8, 7, 6, c. equivalent to number of ways of distributing 21 different objects in three boxes of size 3, 7, 11 d. equivalent to number of ways of arranging 21 objects of which 3 are alike of one kind, 7 are alike of second type and 11 are alike of third type Each only one 1. Sta abc Sta dist 2. Star

The distance of the point P(x_(0),y_(0),z_(0)) from z - axis

Write the distances of these points from y- axis . (0,7)

The number of integral point inside the triangle made by the line 3x + 4y - 12 =0 with the coordinate axes which are equidistant from at least two sides is/are : ( an integral point is a point both of whose coordinates are integers. )