a) How many 3-digit positive integers are there with odd digits?

Database System Concepts
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ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Pls help ASAP. Pls do all asked questions. Pls show all work and calculations. 

a) How many 3-digit positive integers are there with odd digits?
b) How many bit (or binary) sequences are there of length six with a 1 as the first digit?
c) How many possible (even non-sensical) 4-letter, lowercase English words are there?
d) Let X, Y, Z be sets. Calculate |X UYU Z| if |X| = 50, |Y| = 90, |Z| = 71, |X n Y| = 8,
|Xn Z| = 9, |Y n Z| = 7, and |XnYn Z| = 3.
e) True or False: If 25 oranges are placed into 22 baskets, then at least one basket must contain at least two
oranges.
Transcribed Image Text:a) How many 3-digit positive integers are there with odd digits? b) How many bit (or binary) sequences are there of length six with a 1 as the first digit? c) How many possible (even non-sensical) 4-letter, lowercase English words are there? d) Let X, Y, Z be sets. Calculate |X UYU Z| if |X| = 50, |Y| = 90, |Z| = 71, |X n Y| = 8, |Xn Z| = 9, |Y n Z| = 7, and |XnYn Z| = 3. e) True or False: If 25 oranges are placed into 22 baskets, then at least one basket must contain at least two oranges.
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