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First and second prizes are awarded among 8 participants. No participant can receive both prizes. How many outcomes are possible?8 प्रतिभागियों में से प्रथम और द्वितीय पुरस्कार दिए जाते हैं। कोई भी प्रतिभागी दोनों पुरस्कार नहीं जीत सकता। कितने परिणाम संभव हैं?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 56 outcomes56 परिणाम
There are 8 choices for the first-prize winner. Since that participant cannot also receive the second prize, 7 choices remain for it. The prizes are distinct, so the total is 8 × 7 = 56 outcomes.प्रथम पुरस्कार के विजेता के लिए 8 विकल्प हैं। वही प्रतिभागी द्वितीय पुरस्कार नहीं जीत सकता, इसलिए उसके लिए 7 विकल्प बचते हैं। पुरस्कार अलग-अलग हैं, अतः कुल परिणाम 8 × 7 = 56 हैं।
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