In a certain state, each automible license plate number consist of two letters followed by a four digit. How many disnict license numbers can be formed if (a) there are no restrictions and (b) if the letters O and I are not used.

 (a) 6760000

(b) 5760000

Step-by-step explanation:

Total letters in English alphabet = 26

Total digits = 10

Given: Each automobile license plate number consists of two letters followed by a four-digit.

(a) If there are no restrictions, then the total number of license plates formed = 26 x 26 x 10 x 10 x 10 x 10

= 6760000

(b) if the letters O and I are not used, total letters can be used ]= 26-2=24

Then the total number of license plates formed = 24 x 24 x 10 x 10 x 10 x 10

=5760000

the answer is 844

step-by-step explanation:

it is 844 because if you add 836.50 + 7.5 you will get 844

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950