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Allie remembered that the 3 digits in her locker combination were 2, 4, and 8, but she forgot the order of the numbers. what is the maximum number of combinations she must check in order to open her lock

Respuesta :

tonb
First digit has 3 choices (2,4,8), second digit has 2 choices left, last digit no choices. So 3*2=6 permutations possible.

Answer:  The maximum number of combinations she must check in order to open her lock is 6.

Step-by-step explanation:  Given that Allie remembered that the 3 digits in her locker combination were 2, 4, and 8, but she forgot the order of the numbers.

We are to find the maximum number of combinations she must check in order to open her lock.

We have

number of options for the fist digit = 3,

number of options for the second digit = 2

and

number of options left for the third digit = 1.

Therefore, the total number of combinations that can be made with the three digits is given by

[tex]n_c=3\times2\times1=6.[/tex]

Thus, the maximum number of combinations she must check in order to open her lock is 6.

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