Jakub makes a 4-digit password, using the digits of his date of birth:
2 5 1 0 9 8
He doesn’t use any digit more than once - Junior Cycle Mathematics - Question 2 - 2018
Question 2
Jakub makes a 4-digit password, using the digits of his date of birth:
2 5 1 0 9 8
He doesn’t use any digit more than once.
(a) Write down a password Jakub could ... show full transcript
Worked Solution & Example Answer:Jakub makes a 4-digit password, using the digits of his date of birth:
2 5 1 0 9 8
He doesn’t use any digit more than once - Junior Cycle Mathematics - Question 2 - 2018
Step 1
Write down a password Jakub could make that is: an odd number.
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Answer
To create an odd number, Jakub's password must end with an odd digit. The available odd digits from his date of birth are 1, 5, and 9. One possible password is 2059, as it uses four digits and ends with 9, an odd digit.
Step 2
Write down a password Jakub could make that is: a multiple of 5.
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Answer
To form a password that is a multiple of 5, it must end with a 0 or 5. A valid password is 2105, which uses the digits without repetition and ends with 5.
Step 3
Write down the largest number that Jakub could use as a password.
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Answer
The largest combination of the digits 2, 5, 1, 0, 9, 8 is 9852. This is the largest 4-digit number that can be formed with no repetitions.
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