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cupoosta [38]
2 years ago
8

How many three​-digit numbers may be formed using elements from the set ​{1, 2, 3, 4, 5, 6, 7​} if no element may be used more t

han once in a number and the number must be​ even?
Mathematics
1 answer:
PSYCHO15rus [73]2 years ago
3 0

Answer: 90

Step-by-step explanation:

set: ​{1, 2, 3, 4, 5, 6, 7​} = 7 numbers | 3 even

no element may be used more than once in a number = distinct elements

and the number must be​ even = must finish with a even number.

This way, we should start with the last number, which we have 3 possibilities.

Since we have 7 numbers in total, we have 6 options for the first one and then 5 options for the second one.

So, we have 6.5.3 = 90

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