ZittyNakaharaidn
Answered

Makakuha ng mga maaasahang sagot sa iyong mga tanong sa IDNStudy.com. Ang aming platform ng tanong at sagot ay idinisenyo upang magbigay ng mabilis at eksaktong sagot sa lahat ng iyong mga tanong.

in how many ways can a student answer 5 out 8 question ?

Sagot :

Taskmastersidn
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.

8C5 = 8!/5!(8-5)!
       = 8! / 5!(3!)
       = (8×7×6×5!) / (5!×3×2×1)
       = (8×7×6) / (3×2×1)
       = 336 / 6
8C5 = 56 ways

Therefore, there are 56 ways that a student can answer 5 out of 8 questions.
Xwolfy01xidn
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 =)

Natutuwa kami na ikaw ay bahagi ng aming komunidad. Magpatuloy sa pagtatanong at pagbibigay ng mga sagot. Sama-sama tayong lumikha ng isang mas matibay na samahan. May mga katanungan ka? Ang IDNStudy.com ang may sagot. Bisitahin kami palagi para sa pinakabagong impormasyon.