Question
Find the number of integral solutions to |x| + |y| + |z| = 15.
Answer: Option C
:
C
option c
Case 1:When none of them are zero
Number of +ve integral solutions of x + y + z = 15 is 14C2 however, x y z can be -ve also total 8 ways for each set of x y z Total 14C2×8=728
Case 2:When one of them is zero
No of solutions = 3×4×14C1=168 Case 3: When two of them are zeroes
Number of solutions = 3×2=6
Total= 902, option (c)
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:
C
option c
Case 1:When none of them are zero
Number of +ve integral solutions of x + y + z = 15 is 14C2 however, x y z can be -ve also total 8 ways for each set of x y z Total 14C2×8=728
Case 2:When one of them is zero
No of solutions = 3×4×14C1=168 Case 3: When two of them are zeroes
Number of solutions = 3×2=6
Total= 902, option (c)
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