1. Solve the following by using multiplication, addition,permutations, or combin

Question

1. Solve the following by using multiplication, addition,permutations, or combination.
    a) The license plate in a certain state consistsof 4 letters followed by 2 non zero digits. How many licenses arepossible?
    b) In how many ways can five taxi drivers beassigned to 8 cars?
    c) A club of 30 members wants to elect apresident, vice president, secretary, and treasurer. From the   remaining members, an advisory committee of 3 peopleis to be chosen. In how many ways can all this be done?
    d) An exam consists of 5 multiple choicequestions and each question had 4 choices. Assuming all questionsare answered, in how many ways can the test be completed?
    e) In how many ways can 4 hearts be drawn froman ordinary deck of cards?
    f) You are at Ledo's Pizza and have decided toorder a pizza. The menu lists 21 different toppings to put on theirplain cheese pizza. How many different pizza's can you order with 3or 4 toppings?
    g) A die with 6 sides is rolled and a coin isflipped. The number on the die and "heads or tails" is recorded.How many different outcomes are possible?


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Explanation / Answer

a) 26 letters in the alphabet, 9 non-zero numbers so(1/26)(1/26)(1/26)(1/26)(1/9)(1/9) = 1/37015056     37,015,056 combinations b) 8!/5! = 336 ways d) (1/4)(1/4)(1/4)(1/4)(1/4) = 1/1024 1024 ways g) (1/6)(1/2) = 1/12 12 different outcomes the ones I skipped are prob. and stat questions which I can'tremeber how to do

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