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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 both (0) and (9) are included but not adjacent?अंकों (0,1,2,3,4,5,6,7,8,9) से बिना पुनरावृत्ति कितनी (7)-अंकीय संख्याएं बनेंगी जिनमें (0) और (9) दोनों हों लेकिन साथ न हों?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (168000)(168000)
First count arrangements containing both (0) and (9), then subtract cases where they are adjacent. When (0) is included, handle the leading position carefully.पहले (0) और (9) दोनों शामिल वाली व्यवस्थाएं गिनें और फिर उनके साथ वाली व्यवस्थाएं घटाएं। शून्य शामिल हो तो अग्र स्थान की सावधानी जरूरी है।
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