2 votes 2 votes How many distinct ways are there to split 50 identical coins among three people so that each person gets atleast 5 coins?? Nidhi Goyal asked Dec 13, 2016 Nidhi Goyal 932 views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
Best answer 4 votes 4 votes Your question can be reduced in the form -: $x+y+z=50$ where, $x\geq 5,y\geq 5,z\geq 5,$ so the above eqaution can be written as $\left (p+5 \right )+\left ( q+5 \right )+\left ( r+5 \right )=50$ $p+q+r=35$ It is same as Number of ways of distributing n identical objects among r groups which is $\binom{35+3-1}{3-1}=\binom{37}{2}$ sourav. answered Dec 13, 2016 • selected Dec 13, 2016 by focus _GATE sourav. comment Share Follow See 1 comment See all 1 1 comment reply Lokesh Arya commented Sep 8, 2019 reply Follow Share Sir I have doubt ..why not answer 37C3 ... in most of the non integral questions solution n+r-1Cr only we used this formula ... 0 votes 0 votes Please log in or register to add a comment.