odd natural numbers

The numbers of solutions of x₁ + x₂ + x₃= 51 (x₁, x₂, x₃ being odd natural numbers) is.......

5 Answers

so ur ans is 900

options given are.... 300,330,325,350

abhi dear is da 325? = 26C2

tell me if its rite, then i'll give da reasonin

oops asish it was given as odd natural nos not no of integral solns.

106

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+3-1C_3-1 = ²⁶C₂ = 325

thanks bro....

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