oops asish it was given as odd natural nos not no of integral solns.
The numbers of solutions of x1 + x2 + x3 = 51 (x1, x2, x3 being odd natural numbers) is.......
-
UP 0 DOWN 0 0 5
5 Answers
ДвҥїÑuÏ now in medical c
·2009-02-26 10:39:04
so ur ans is 900
options given are.... 300,330,325,350
avni
·2009-02-26 10:53:36
abhi dear is da 325? = 26C2
tell me if its rite, then i'll give da reasonin
Asish Mahapatra
·2009-02-26 16:59:14
it is given x1,x2,x3 are odd natural numbers.
Let x1=2k1+1, x2=2k2+1, x3=2k3+1 where k1,k2,k3 are whole numbers
Now x1+x2+x3=51
==> k1+k2+k3=24
So, reqd. solution is 24+3-1C3-1 = 26C2 = 325