This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Ili kutatua swali hili, tutachukulia kuwa "subsets" inarejelea proper subsets kwa sababu 63 si namba inayoweza kuwakilishwa kama 2^n ambapo n ni integer (idadi ya elements). Idadi ya proper subsets ya seti yenye n elements ni 2^n - 1. Step 1: Andika formula ya idadi ya proper subsets. Ikiwa seti p ina n elements, basi idadi ya proper subsets ni 2^n - 1. Step 2: Weka idadi ya proper subsets sawa na 63. 2^n - 1 = 63 Step 3: Tatua mlinganyo ili kupata n. Ongeza 1 pande zote mbili za mlinganyo: 2^n = 63 + 1 2^n = 64 Step 4: Tafuta thamani ya n kwa kuandika 64 kama nguvu ya 2. Tunajua kuwa 2^6 = 64. Hivyo, 2^n = 2^6 n = 6 Idadi ya elements katika seti p ni 6. Jibu: 6 That's 2 down. 3 left today — send the next one.