P&C

Find the total number of positive integral solutions of the following
1. x1x2 x3..... xn = n
2. x1 x2 x3..... xn = -n
3. x1 +x2 +x3+....+ xn = n
4. x1 +x2 +x3+....+ xn = -n

5 Answers

62
Lokesh Verma ·

hmm...

2) there are no solutions (Product of +ve numbers catn be zero)
3) The number of solutions is 1 (all xi's have to be 1)
4) There is no solution... (sum of +ve numbers cant be zero)

1) Will depend on the unique factorization of n.. I cant think of any direct answer for 1!

1
sakshi pandey pandey ·

bt bhaiyya ,,,,,,,how do u know here dat ...........x1,x2......,xn are positive...............................here nothing is given abt that?................

62
Lokesh Verma ·

"Positive integral solutions" is given in the question

1
sakshi pandey pandey ·

sorry bhaiyya...................i ddnt read it carefully

1
rahuliit ·

nishant sir the ques is x1+x2+x3+....+xr = n and the total no of solns is

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