a course catalog for the open university of earth lists classes via a sequence of three numbers (chosen from 0 to 9) followed by three letters in english (chosen from a to z). how many courses can be given unique catalog numbers? choose the best answer.



Answer :

17576000 courses can be given unique catalog numbers.

There are three numbers and three English letters.

Each of three numbers can be chosen from 0 to 9, so the ways to choose each number is  = 10

So the total number to choose three numbers = 10*10*10 = 1000

Each of letters can be chosen from A to Z.

Number of choice for the each letter = 26

So, the outcomes of letter combination = 26*26*26 = 17576

Hence the total possible catalog numbers = 1000*17576 = 17576000

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