if X={g,o,a,i,s} how many subsets of X contain exactly 3 elements
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Subsets of x that contain exactly 3 elements are 12.
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Number sets contain exactly 3 elements = 10
Given: X = {g,o,a,i,s}
To find: Number of subsets of X contains exactly 3 elements
Solution: Number of elements in X, n(X) = 5
Number of elements that subsets must be contain = 3
Therefore, number of subsets = ⁵C₃
⇒ ⁵C₃ =
= =
=
= 10
Number sets contain exactly 3 elements = 10
#SPJ3
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