How many 3-digit numbers can be formed using the digits 1 2 3 4 5 6 7 8 9 with repetition
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Solution : (i) When repetition of digits is allowed: Show
Open in App 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.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 possible 3 digit numbers can be made using the digits 604?There are 4 possible numbers if the digits are not repeated; 18 if they are. Those are 3-digit numbers, assuming that zero would not be a leading digit. If zero is allowed for a leading digit, then you can have 6 for the non repeated, and 27 if repetition.
Thea E. how many three digit numbers can be made with the digits 1,2,3,4,5,6 and 7 if a) repetitions are allowed b) no digits is to be repeated in a number? More 1 Expert Answer
Hi Thea With 7 numbers, we can create three digit numbers like this. a) With repetitions would suggest with replacement. We'd have 7 options for the first digit, 7 options for the 2nd digit and 7 choices for the 3rd digit 73 = 343 combinations b) Without repeated numbers, would suggest without replacement We'd have 7 options for the first digit, 6 options for the 2nd digit and 5 choices for the 3rd digit 7•6•5 = 210 combinations Still looking for help? Get the right answer, fast.ORFind an Online Tutor Now Choose an expert and meet online. No packages or subscriptions, pay only for the time you need. How many 3(i) repetition of the digits is allowed? Solution: Answer: 125.
How many 3Note: 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 = 5P3=5! (5−3)! =5! 2!
How many three digit numbers can be formed using the digits 1 2 3 4 5 if a repetition of the digits is allowed 2 B repetition of the digits is not allowed?so 60(ans.)
How many 3∴ Required number of numbers = (1 x 5 x 4) = 20.
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