odd natural numbers

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

5 Answers

13
Двҥїяuρ now in medical c ·

so ur ans is 900

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

1
avni ·

abhi dear is da 325? = 26C2

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

3
msp ·

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

106
Asish Mahapatra ·

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

13
Двҥїяuρ now in medical c ·

thanks bro....

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