Page 110 - Senior Math

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What is the Fundamental Counting Principle, in your own words?
A girl is getting ready for school.
a) If she has 6 different skirts and 10 different blouses, how many outfits are possible?
b) She decides she also wants to wear a sweater. If she has 3 different sweaters, how many outfits are possible?
The home row of a standard keyboard gives one arrangement of the letters A, S, D, F, G, H, J, K, L. How many other arrangements of these letters are possible?
Many radio stations have four letter call signs beginning with K.
a) How many call signs are possible if the letters can be repeated?
b) How many call signs are possible if the letters cannot be repeated?
In how many different ways can you answer 10 true-false questions?
In how many different ways can you answer 10 multiple-choice questions if each question has 4 choices?
Telephone numbers in Canada have 10 digits as follows:
3 digit area code number: first digit is not 0 or 1; second digit must be 0 or 1 3 digit exchange number: first and second digits are not 0 or 1
4 digit line number: not all zeros
a) How many area codes are possible?
b) One area code for Toronto is 416. Within this area code how many exchange numbers are possible?
c) One of the exchange numbers for Toronto is 367. Within this exchange, how many line numbers are possible?
d) How many seven digit phone numbers are possible in the 416 area code?
e) How many 10 digit phone numbers are possible in Canada? 109