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123456789=100. Using +,-,* Signs In Between The Digits How Many Number Of Ways Its Possible If In Its Same Order?

3

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Anonymous Profile
Anonymous answered

1 2 3 4 5 6 7 8 9 0=55                      vertez

Oddman Profile
Oddman answered
Each of the 8 spaces can be filled with one of 3 signs. There are 3^8 = 6561 ways to do that.
thanked the writer.
Oddman
Oddman commented
14 of them result in a value of 100. Here's the list. {1+2+3+4+5+6+7+8*9, 1+2+3-4*5+6*7+8*9, 1+2-3*4+5*6+7+8*9, 1+2-3*4-5+6*7+8*9, 1+2*3+4*5-6+7+8*9, 1-2+3*4*5+6*7+8-9, 1-2+3*4*5-6+7*8-9, 1-2*3+4*5+6+7+8*9, 1-2*3-4+5*6+7+8*9, 1-2*3-4-5+6*7+8*9, 1*2*3+4+5+6+7+8*9, 1*2*3-4*5+6*7+8*9, 1*2*3*4+5+6+7*8+9, 1*2*3*4+5+6-7+8*9}

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