Respuesta :
Answer:
210
Step-by-step explanation:
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The Combination to elect four representatives out of 10 students is 210.
The correct option is (A).
What is permutation and combination?
permutations and combinations, the various ways in which objects from a set may be selected, generally without replacement, to form subsets. This selection of subsets is called a permutation when the order of selection is a factor, a combination when order is not a factor.
Firstly, n=10 and r=4
Combination: C(n,r)=C(10,4)
= [tex]\frac{10!}{4!(10-4)!}[/tex]
= [tex]\frac{10!}{4!* 6!}[/tex]
= [tex]\frac{10*9*8*7}{4*3*2*1}[/tex]
= 210
and permutation: P(n,r)=P(10,4)
= [tex]\frac{10!}{(10-4)!}[/tex]
= 10*9*8*7
= 5040
Hence, the combination of data is 210 and permutation is 5040.
Learn more about permutation and combination here:
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