A private television decides to opt for the system of ”pay-program” using the decoders ordered by...

A private television decides to opt for the system of ”pay-program” using the decoders ordered by 8-digit codes.

a)Find the number of potential subscribers and the number of subscribers with code consisting of 8 different digits.

b)Calculate the number of codes with 2 different digits; one used 1 time and the other 7 times.

c)Same question with 3 different digits, 2 of them used 1 time and the 3rd used 6 times.

Expert Solution

Therefore

Total number of potential subscribers = 16777216

Total number of subscribers with code consisting of 8 different digits = 40320

number of codes with 2 different digits; one used 1 time and the other 7 times. = 45*8 = 360 ways

number of codes with3 different digits, 2 of them used 1 time and the 3rd used 6 times. = 120*56 = 6720.

orchestra answered 2 years ago

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