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In a (4)-letter word signal, letters are chosen from (8) letters. The first and second letters must be different, the third must be the same as the first, and the fourth must not be the same as the second. How many signals are possible?एक (4)-अक्षरी शब्द-संकेत में (8) अक्षरों में से अक्षर चुने जाते हैं। पहला और दूसरा अक्षर अलग हों, तीसरा पहले जैसा हो और चौथा दूसरे जैसा न हो। कुल कितने संकेत बनेंगे?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (8 \times 7 \times 1 \times 7=392)(8 \times 7 \times 1 \times 7=392)
The third position is forced by the first letter, so it has (1) choice, and the fourth has (7) choices excluding the second letter. Count forced positions separately.तीसरे स्थान पर पहले अक्षर की बाध्यता से (1) विकल्प है और चौथे पर दूसरे अक्षर को छोड़कर (7) विकल्प हैं। बाध्य स्थानों को अलग से गिनें।
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