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From a deck of (52) cards, a (5)-card hand is to be chosen with exactly (2) hearts. How many hands are possible?(52) पत्तों की गड्डी से (5) पत्तों का हाथ चुनना है जिसमें ठीक (2) दिल के पत्ते हों। कितने हाथ संभव हैं?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (712842)(712842)
Choose (2) hearts in (^{13}C_{2}) ways and the other (3) cards in (^{39}C_{3}) ways. Multiplication gives (712842).दिल के (2) पत्ते (^{13}C_{2}) तरीकों से और बाकी (3) पत्ते (^{39}C_{3}) तरीकों से चुने जाएंगे। गुणन से (712842)।
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