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Simultaneous Settlement II (Posted on 2013-09-26)

Determine the total number of nonnegative integer solutions to this system of simultaneous equations:

(A) P*Q*R*S*T = 7^X*11^Y*13^Z*79^W, and:
(B) X+Y+Z+W = 44

Prove that there are no others.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

The required total number of nonnegative integer solutions to this system of simultaneous equations is: comb (44+19,19)=6,131,164,307,078,475
For an explanation, refer to the solution submitted by Daniel in this location., where Daniel has extended this problem to a,more general one.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re: solution	Daniel	2013-09-26 15:14:27
solution	Charlie	2013-09-26 13:01:45
analytical solution	Daniel	2013-09-26 11:28:03

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