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How many (5)-digit even numbers can be formed from digits (1,2,3,4,5,6,7) without repetition?(1,2,3,4,5,6,7) अंकों से बिना पुनरावृत्ति कितनी (5)-अंकीय सम संख्याएं बन सकती हैं?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (1080)(1080)
The last digit can be (2,4,6) in (3) ways, and the remaining four places in (^{6}P_{4}) ways. For even numbers, fix the unit digit first.अंतिम अंक (2,4,6) में से (3) तरीकों से होगा और शेष चार स्थान (^{6}P_{4}) तरीकों से भरेंगे। सम संख्या में इकाई अंक पहले तय करें।
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