How many different 3 digit numbers can be formed using the digits 1/2 and 3 when?
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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. Solution Given 3 digit numbers that can be formed using the digits from 1 to 9.Required number of 3-digit numbers= arranging 3 digits with the total number of 9 digits.= 9P3=(9×8×7)=504.Hence, the required number of numbers =504. (adsbygoogle = window.adsbygoogle || []).push({});Permutation: n Different Things Taken r at a Time Standard XI Mathematics Similar questions Q. How many 3-digit numbers can be formed by using the digits 1 to 9 if no digit is repeated? Q. How many 3-digit number can the formed by using the digit 1,2,3,4,5,6,7,8 if no digit is repeated? Q. How many numbers greater than 24,000 can be formed by using digits
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4, 5 when no digit is repeated Q. How many 3 digit even numbers can be formed using the digits 3, 5, 7, 8, 9, if the digits are not repeated? Q. How many 3−digit even numbers can be formed using the digits 1,3,4,6,8 and 9 without any digit being repeated? View More How many 3 digit numbers can you make using the digits 1/2 and 3 without repetitions solution?the number of 3 digit numbers which can be formed by 1,2,3 without repeating any digit is 6. this is because of factorialism.
How many 3 digit numbers can you write if you use only digits 1 and 2?So here's my “out-of-the-box” answer: As others have pointed out, you have 8 three-digit number, simply by reorganizing 1s and 2s. They are as follows: 111*
How many 3 digit even numbers can be made by using the digits 1,2 3 4 6 if repetition of digits is not allowed?Thus, by multiplication principle, the required number of 3-digit numbers is 3×20=60.
How many 3 digit prime numbers can be formed using the digits 1/2 and 3 without repetition?Therefore, 0 three digit prime numbers can be formed using 1,2 and 3 without repetition.
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