In how many different ways can you answer a multiple choice test that has 5 questions and 3 choices for each answer?
3*3*3*3*3 = 3^5 = 243 ways
see here http://www.algebra.com/algebra/homework/Permutations/Permutations.faq.question.293647.html
use combinations \[nCr = \frac{n!}{r!(n-r)!}\] so in this case \[5C3 = \frac{5!}{3!(5-3)!}\] does that help?
yes , thanks. :)
welcome ^_^
what do the exclamation marks mean?
I dont 10 is the answer @lgbasallote
the choices are: 15 125 243
it means factorial...for example \[6! = 6\times 5 \times 4 \times 3 \times 2\times 1\] \[7! = 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1\] \[5! = 5\times 4 \times 3 \times 2 \times 1\] and so on...
|dw:1344065677110:dw| which is the correct answer
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