Mathematics
Booker680
2016-04-12 10:14:36
1. An elf, a dwarf, a hobbit, a wizard, and a man are sitting in a line. How many different ways can they sit if the elf and the dwarf insist on sitting next to each other? a. 6 ways b. 48 ways c. 36 ways d. 12 ways e. 24 ways 2. How many ways can you order a hamburger of you can order it with or without cheese, lettuce, tomatoes, pickles, or onions? a. 10 b. 32 c. 64 d. 5
ANSWERS
Disanti728
2016-04-12 12:53:05

1. An elf, a dwarf, a hobbit, a wizard, and a man are sitting in a line. How many different ways can they sit if the elf and the dwarf insist on sitting next to each other? a. 6 ways b. 48 ways c. 36 ways d. 12 ways e. 24 ways elf, dwarf, hobbit, wizar, man = 5 characters Treat first elf and dwarf as one unique character, due to they will sit next to each other. So, calculate the number of different ways 4 can sit, i.e permutations of 4 = 4! = 4*3*2*1 = 24 ways. Given thath elf and dwarf can exchage their position between them, the above quantity has to be multiplied by 2: 24 * 2 = 48. Answer: option b) 48 ways 2. How many ways can you order a hamburger if you can order it with or without cheese, lettuce, tomatoes, pickles, or onions? a. 10 b. 32 c. 64 d. 5 with or without cheese => 2 options with or without lettuce => 2 options                         tomatoes => 2 options                         pickles => 2 options                         onions  => 2 options => 2*2*2*2*2 = 32 ways. answer: option b) 32

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