Number Substitution( Week 1 Practice) 1. If a@b = |a+b|+|a-b|, what is the value of 8@(10@1)? 2. If a∀b = a2 + 2b, what is the value of (1∀5)∀4? 3. If a♦b = (a − 1) + ab + (b − 1)2, what is the value of (9♦5)♦6? 4. If 1⊜5 = 1+11+111+1111+11111, 2⊜4 = 2+22+222+2222, 3⊜3 = 3+33+333, and 4⊜2 = 4+44, what is the value of 7⊜4? 5. abc, acb, bac, bca, cab, cba
In the six triples of letters shown above, if a is in the middle of a triple, the triple is assessed as 1, if a is in the left of a triple, the triple is assessed as 2, and if a is in the right of a triple, the triple is assessed as 4. What is the sum of the values of the six triples? |