SOLUTION: Suppose n>1. An n-digit number is a list of n digits where the first digit in the list is NOT zero. a) How many n-digit number are there? b) How many n-digit numbers contain no

Question 304514: Suppose n>1. An n-digit number is a list of n digits where the first digit in the list is NOT zero.
a) How many n-digit number are there?
b) How many n-digit numbers contain no zeroes?
c) How many n-digit numbers contain at least one zero
hint: Use a) and b)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Suppose n>1. An n-digit number is a list of n digits where the first digit in the list is NOT zero.
a) How many n-digit number are there?
Ans: 9*10^(n-1)
--------------------------
b) How many n-digit numbers contain no zeroes?
Ans: 9^(n)
--------------------------
c) How many n-digit numbers contain at least one zero
hint: Use a) and b)
Ans: 9*10^(n-10 - 9^(n)
============================
Cheers,
Stan H.

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