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in how many ways can a student answer 5 out 8 question ?
This is an example of Combination. Combination is the number of ways of selecting r items from a set of n. Thus, the formula of Combination is nCr = n!/r!(n-r)!
There are 8C5 ways that a student can answer 5 out of 8 questions. Let's solve this.
This is a combination problem or simply where order doesn't matter The formula is: C=[tex]\frac{n!}{(n-r)!r!}[/tex] where: n=total number o objects r=number of objects you need to answer Substitute: C=[tex]\frac{8!}{(8-5)!5!}[/tex] C=[tex]\frac{8x7x6x5!}{3!5!}[/tex] Cancel out the 6 and the 3! since they have the same value, and then cancel out 5! on both sides since they are the same, then you are left with: C=8x7 C=56 Hope this helps =)
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