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How many ways are there to choose (2) badges from (18) different badges?(18) अलग-अलग बैजों में से (2) बैज चुनने के कितने तरीके हैं?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 153153
This is a selection problem, so the order of the badges does not matter. Hence, the number of ways is \(\binom{18}{2}=\frac{18\times17}{2}=153\). The value \(306\) would result if the order of the two badges were also counted. Exam tip: When a question says “choose” or “select” and no order is specified, use combinations.यह चयन का प्रश्न है, इसलिए क्रम का कोई महत्व नहीं है। अतः तरीकों की संख्या \(\binom{18}{2}=\frac{18\times17}{2}=153\) होगी। \(306\) प्राप्त होता यदि दो बैजों के क्रम को भी अलग-अलग माना जाता। परीक्षा टिप: “चुनना” या “selection” शब्द हो और क्रम न दिया हो, तो सामान्यतः संयोजन का प्रयोग करें।
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