Question: (1 2 5 4)(1 3)(25) Step 1. Write out the cycles (1 2 5 4):12541 (1 3):13 (2 5):25 Step2. State the order of application

(1 2 5 4)(1 3)(25) Step 1. Write out the cycles (1 2 5 4):12541 (1 3):13 (2 5):25 Step2. State the order of application Apply (25) first, then (13), then (1 2 5 4). Step3. Track each element 1: (2 5)fixes1,(1 3)13,(1 2 5 4)fixes 3,13 2: (2 5)25(1 3)fixes5,(1 2 5 4)54,24 3: (2 5)fixes 3,(1 3)31,(1 2 5 4)12,32 4: (2 5)fixes,4(1 3)fixed 4,(1 2 5 4)41,41 5: (2 5)52,(1 3)fixes 2,(1 2 5 4)25,55 Step.4 the result in the cycle notation 13241 So,(1324) 5 is fixed Final answer is: (1 3 2 4). please check my work

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