Short answer question. No justification is required. 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?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Q2
Short answer question. No justification is required.
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 l 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 |XUYU Z| if |X| = 50, [Y| = 90, |Z| = 71, |XnY| = 8, |XnZ|= 9,
|Yn Z| = 7, and |XNYNZ|= 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:Q2 Short answer question. No justification is required. 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 l 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 |XUYU Z| if |X| = 50, [Y| = 90, |Z| = 71, |XnY| = 8, |XnZ|= 9, |Yn Z| = 7, and |XNYNZ|= 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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