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How many (7)-digit numbers can be formed from digits (0,1,2,3,4,5,6,7,8,9) without repetition if exactly (3) digits are even?अंकों (0,1,2,3,4,5,6,7,8,9) से बिना पुनरावृत्ति कितनी (7)-अंकीय संख्याएं बनेंगी जिनमें ठीक (3) सम अंक हों?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (230400)(230400)
Choose the even and odd digit groups and count (7!) arrangements, then subtract leading-zero cases. When (0) is included, handle the first digit carefully.सम और विषम अंकों के समूह चुनकर (7!) व्यवस्थाएं गिनें, फिर अग्र शून्य वाले केस घटाएं। शून्य शामिल हो तो पहला स्थान सावधानी से देखें।
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