How many three digit numbers can be formed from the digits 12345 without repetition?
Answer Show Hint: Fundamental principle of counting: According to the fundamental principle of counting if a task can be done in “m” ways and another task can be done in “n” ways, then the number of ways in which both the tasks can be done in mn ways. Complete step by step solution: Note: The number of 3-digit numbers formed using the digits 1, 2, 3, 4 and 5 when repetition is not allowed is equivalent to the number of 3 Letter permutations of 5 distinct letter = ${}^{5}{{P}_{3}}=\dfrac{5!}{\left( 5-3 \right)!}=\dfrac{5!}{2!}=\dfrac{120}{2}=60$ which is the same result as above. Made by Davneet SinghDavneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.
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How many numbers can be formed from 12345 without repetition?Total Number of Numbers which can be formed by numbers 1,2,3,4,5 (without repeating digitsi) = 5*4*3*2*! = 5! = 120.
How many numbers of 3 digits can be formed with the digits 12345 repetition of digits not allowed?ANSWER: 120 three-digit numbers can be formed WITHOUT REPETITION OF DIGITS.
How many 3Required number of numbers =(9×9×8)=648.
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