The access code for a car's security system consists of sixsix digits. the first digit cannot be zerozero and the last digit mu

Question

Svet_ta [14]

3 years ago

10

The access code for a car's security system consists of sixsix digits. the first digit cannot be zerozero and the last digit mu

st be oddodd. how many different codes are available?

Mathematics

2 answers:

Rudiy27 · Answer 1 · 2022-05-17T19:32:51+03:00

Rudiy273 years ago

4 0

54 different codes should be right

Iteru [2.4K] · Answer 2 · 2022-05-17T21:12:33+03:00

You didn't say anything so I have to assume that other than the two conditions mentioned for the fist and last digit, all numbers 0-9 are permissible.

1st digit cannot be a 5. Therefore there are 9 possibilities
digits 2-5 can be any digit. There are 10 possibilities for each. There are 4 digits involved, so there are 104 possibilities.
Finally the last, 6th digit must be odd. Therefore there are 5 possibilities.

The number of different possible codes is
9 x 104 x 5 = 45 x 104 = 450,000

The access code for a​ car's security system consists of sixsix digits. the first digit cannot be zerozero and the last digit mu

The access code for a car's security system consists of sixsix digits. the first digit cannot be zerozero and the last digit mu