How many positive odd integers less than 10,000 can you make from the digits 0, 2, 3, 4, and 6?
Answers
Answer:
02463 is the answer
Step-by-step explanation:
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Given : digits 0, 2, 3, 4, and 6 , positive odd integers less than 10,000
To find : How many positive odd integers less than 10,000 possible
Solution:
Considering Without repetition of Digit :
Less than 10,000 Hence
1 Digit to 4 Digit number
odd integers hence last digit has to be 3
1 Digit = 3 one number
2 Digit =23 , 43 , 63 three numbers
3 Digit - 1st Digit Can be in 3 ways , 2nd Digit can be in 3 Ways
3 * 3 = 9 numbers
4 Digit - 1st Digit Can be in 3 ways , 2nd Digit can be in 3 Ways & 3rd Digit can be in 2 ways
= 3 * 3 * 2 = 18 numbers
Total possible numbers = 1 + 3 + 9 + 18
= 31
Considering Repetition of Digits :
1 Digit = 3 1 number
2 Digit =23 , 33 , 43 , 63 4 numbers
3 Digit - 1st Digit Can be in 4 ways , 2nd Digit can be in 5 Ways
4 * 5 = 20 numbers
4 Digit - 1st Digit Can be in 4 ways , 2nd Digit can be in 5 Ways & 3rd Digit can be in 5 ways
= 4 * 5 * 5 = 100 numbers
Total possible numbers = 1 + 4 + 20 + 100
=125
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