0 votes 0 votes How many ways are there to travel in $xyzw$ space from the origin $(0, 0, 0, 0)$ to the point $(4, 3, 5, 4)$ by taking steps one unit in the positive $x,$ positive $y,$ positive $z,$ or positive $w$ direction? Combinatory kenneth-rosen discrete-mathematics counting combinatory descriptive + – admin asked May 1, 2020 admin 311 views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
Best answer 1 votes 1 votes $\binom{16}{4}\cdot \binom{16-4}{3}\cdot \binom{12-3}5{}$=50450400 The net displcement will be 4 in x, 3 in y, 5 in z and 4 in w direction. The number of movements in total in all direction=4+3+5+4=16 By choosing any 4 movements in x dirn, 3 in y, 5 in z and 4 in w Vandana04 answered Oct 22, 2023 • selected Oct 22, 2023 by Arjun Vandana04 comment Share Follow See all 0 reply Please log in or register to add a comment.
