From a deck of (52) cards, a (6)-card hand is to be chosen with exactly (3) queens. How many hands are possible?(52) पत्तों की गड्डी से (6) पत्तों का हाथ चुनना है जिसमें ठीक (3) रानियां हों। कितने हाथ संभव हैं?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (69184)(69184)
Choose (3) queens from (4) and the other (3) cards from (48) non-queen cards. The number is (^{4}C_{3}\times{}^{48}C_{3}=69184).(4) रानियों में से (3) चुनें और बाकी (3) पत्ते (48) गैर-रानी पत्तों से चुनें। संख्या (^{4}C_{3}\times{}^{48}C_{3}=69184)।
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