How many numbers greater than 2000 can be formed with the digits 1, 2, 3, 4,5
Show How many numbers less than 2000 that can be formed using the digits 1, 2, 3, 4 if repetition is allowed.Answer Verified
Hint: First check all possible cases one by one which are less than 2000. Add all cases possible to set the total number of numbers. Check all numbers of digits 1, 2, 3, 4. This total number is the required result in the given question.Complete step-by-step answer: Note: Generally students forget repetition cases. While taking 4 digits they forget and take cases even for the first digit being 2. But for numbers to be less than 2000 the first digit must only be 1. Generally students forget and use sum rules instead of product rules . But look at definitions carefully to select one of them and apply them carefully. Don’t misplace terms. There are a total of #1880# such numbers. Explanation:Assuming we are allowed to use each digit at most once to form decimal strings then, we can enumerate the possibilities as follows:
That makes a total of:
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How many 3Solution : (i) When repetition of digits is allowed:
No. of ways of choosing firsy digits = 5 No. of ways of choosing second digit = 5 No. of ways of choosing third digit = 5 Therefore, total possible numbers `= 5 xx 5 xx 5 = 125` (ii) When repetition of digits is not allowed: No. How many 3Problem 2: How many 3-digit even numbers can be formed from the digits 1, 2, 3, 4, 5, 6 if the digits can be repeated? Solution: Answer: 108.
How many numbers greater than 23000 can be formed with 12345?Answer: 90 Number can be formed.
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