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DSA Expression Add Operator

You have the string "1234". Between the digits, there are gaps where operators can be inserted. Step-by-step reasoning • Digits: 1 2 3 4 • Number of gaps between digits = 3 • Between 1 | 2 • Between 2 | 3 • Between 3 | 4 • Allowed operators for each gap: , - , * → 3 choices Total number of expressions Each gap can independently take any of the 3 operators: \text{Total expressions} = 3^3 = \boxed{27} Example expressions • 1+2+3+4 • 1*2-3+4 • 1-2*3*4 • 1+2*3-4 • … (27 total) Important note This assumes: • You must insert exactly one operator between every digit • No digit concatenation is allowed (e.g., 12+3-4 is NOT allowed)