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A realtor uses a lock box to store the keys to a house that is for sale. The access code for the lock box consists of six digits.The first digit cannot be 8 and the last digit must be odd. How many different codes are available?

User Moien Tajik
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1 Answer

18 votes
18 votes

A realtor uses a lock box to store the keys to a house that is for sale. The access code for the lock box consists of six digits.

The first digit cannot be 8 and the last digit must be odd. How many different codes are available?

X -----> possible values 0,1,2,3,4,5,6,7,9 ----> 9 digits

X -----> possible values 10

X ----> possible values 10

X---- possible values 10

X ----> possible values 10

X -----> possible values 1,3,5,7,9 -----> 5 digits

therefore

different codes are=(9)(10)^4(5)=450,000 codes

answer is 450,000 codes

User Naresh Chennuri
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