If , , and are integers with , , , and , then the number of possible solutions…

MATHEMATICS · Single correct · CBSE · Mathematics · Permutations and Combinations · Permutations and Combinations

Problem

a

b

, and

c

are integers with

a\ge1

b\ge2

c\ge3

, and

a+b+c=15

, then the number of possible solutions is (1) 55 (2) 66 (3) 45 (4) None of these