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)...

Pls help ASAP. Pls do all asked questions. Pls show all work and calculations.

Extracted 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.