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In: Statistics and Probability

Q‒1. [2×10 marks] In the questions below suppose that a “word” is any string of seven...

Q‒1. [2×10 marks] In the questions below suppose that a “word” is any string of seven letters of the alphabet, with repeated letters allowed.

a) How many words begin with R and end with T?

b) How many words begin with A or B?

c) How many words begin with A or end with B?

d) How many words begin with A or B and end with A or B?

e) How many words begin with A or B or end with A or B?

f) How many words begin with a vowel and end with a vowel?

g) How many words begin with a vowel or end with a vowel?

h) How many words begin with AAB in some order?

i) How many words have no vowels?

j) How many words have exactly one vowel?

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