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.

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Answer
60
Hapa kuna masuluhisho kwa maswali yako:
Tunapewa taarifa zifuatazo: • Jumla ya wanafunzi • Wanafunzi wanaopenda chai • Wanafunzi wanaopenda kahawa • Wanafunzi wanaopenda chai na kahawa zote mbili
A) Wanafunzi wangapi wanapenda chai pekee? Step 1: Ili kupata wanafunzi wanaopenda chai pekee, tunatoa idadi ya wanafunzi wanaopenda chai na kahawa kutoka kwa idadi ya wanafunzi wanaopenda chai. Wanafunzi wanaopenda chai pekee ni .
B) Wanafunzi wangapi wanapenda kahawa pekee? Step 2: Ili kupata wanafunzi wanaopenda kahawa pekee, tunatoa idadi ya wanafunzi wanaopenda chai na kahawa kutoka kwa idadi ya wanafunzi wanaopenda kahawa. Wanafunzi wanaopenda kahawa pekee ni .
D) Wanafunzi wangapi wanapenda angalau kimoja kati ya chai au kahawa? Step 3: Idadi ya wanafunzi wanaopenda angalau kimoja (chai au kahawa au zote mbili) inapatikana kwa kutumia kanuni ya muungano wa seti. Wanafunzi wanaopenda angalau kimoja ni .
C) Wanafunzi wangapi hawapendi chai wala kahawa? Step 4: Ili kupata wanafunzi ambao hawapendi chai wala kahawa, tunatoa idadi ya wanafunzi wanaopenda angalau kimoja kutoka kwa jumla ya wanafunzi. Wanafunzi ambao hawapendi chai wala kahawa ni .
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Hapa kuna masuluhisho kwa maswali yako: Tunapewa taarifa zifuatazo: • Jumla ya wanafunzi |U| = 200 • Wanafunzi wanaopenda chai |T| = 140 • Wanafunzi wanaopenda kahawa |C| = 130 • Wanafunzi wanaopenda chai na kahawa zote mbili |T C| = 80 A) Wanafunzi w…
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.