A lock is using 3 digits from 1 to 7 as its lock combination, the numbers can be repeated. How many different possible lock comb

Question

3 years ago

10

inations are there?

1 answer:

Oksi-84 [34.3K] · Answer 1 · 2022-11-25T19:34:54+03:00

The question is an illustration of selection (or combination)

The number of lock combination is 343

The given parameters are:

$n = 7$ --- the number of digits to select from

$r = 3$ --- the number of digits the lock uses

Because the digits can be repeated, the number of lock combinations is:

$Lock = n^r$

So, we have:

$Lock = 7^3$

$Lock = 343$

Hence, the number of lock combination is 343