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Find the number of integral solutions to |x| + |y| + |z| = 15. 
A .  900
B .  901
C .  902
D .  903
E .  none of these
Answer: Option 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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