5 quick problems , math homework help

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Mathematics

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A restaurant offers three different kinds of soup and five different kinds of salad. (a) If you are having either soup or salad, how many choices do you have? (b) If you are having both soup and salad, how many choices do you have? Bill has eight one-piece jump suits, three pairs of work pants, and six work shirts. He either wears a jump suit, or pants and a shirt to work. How many different possible outfits does he have? Suppose that license plates in a certain municipality come in two forms: (1) three letters (A ... Z) followed by two digits (0 ... 9) or (2) two letters followed by three digits. How many different license plates are possible? The following problem refers to strings in A, B, ..., Z. How many three-letter strings are there that begin with L? How many different four-letter strings can be formed from the letters A, B, C, D, E (repeats allowed) if the first letter must be a consonant and the last letter must be a vowel?
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SOLUTIONS
PROBLEM 1: Restaurant offer 3 different kind of soups and 5 different kinds of salads.
a)If having either salad or soup how many choices you have
b)If having both salad and soup how many choices you have
a) You can have one salad or one soup. There 3 different soups and 5 different salads,
so you have :
3 + 5 = 8 choices
b) You can ha...


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I was having a hard time with this subject, and this was a great help.

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