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How many (5)-digit numbers divisible by (5) can be formed from (0,1,2,3,4,5,6,7) without repetition?अंकों (0,1,2,3,4,5,6,7) से बिना पुनरावृत्ति (5) अंकों की कितनी संख्याएं बनेंगी जो (5) से विभाज्य हों?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (1260)(1260)
The last digit is (0) or (5), and both cases must be counted separately. The total is (^{7}P_4+6\cdot{}^{6}P_3=840+420=1260).अंतिम अंक (0) या (5) होगा और दोनों cases अलग-अलग गिनने होंगे। कुल (^{7}P_4+6\cdot{}^{6}P_3=840+420=1260) है।
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