The number of outcomes available in Boulder and Sarasota will be 4 and 6. Then the total number of outcomes available in Boulder and Sarasota will be 10.
<h3>What are permutation and combination?</h3>
A permutation is an act of putting things or elements in the right sequence. Combinations are a method of picking things or pieces from a collection of objects or sets when the sequence of the objects is irrelevant.
Angelica is comparing vacation prices in Boulder, Colorado, and Sarasota, Florida. In Boulder, she can choose a 1- or 2-week stay in a 1- or 2-bedroom suite. In Sarasota, she can choose a 1-, 2-, or 3-week stay in a 2- or 3-bedroom suite, on the beach or not.
The number of outcomes is available in Boulder will be
→ 2 x 2
→ 4
The number of outcomes is available in Sarasota will be
→ 3 x 2
→ 6
The number of outcomes is available in Boulder and Sarasota will be
→ 4 + 6
→ 10
More about the permutation and the combination link is given below.
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Answer:
Step-by-step explanation:
Instead of dividing both sides by 5, it is multiplied
5x + 3 = 6 {Subtract 3 from both sides}
5x + 3 - 3 = 6-3
5x = 3 {Divide both sides by 5}
5x/5 = 3/5
x = 3/5
143 x 2 = 286 because if you mulitpy each by 2 you get 286
Answer:
Step-by-step explanation:
FYI,
<em>C ∪ D = ( - ∞ , 2 ) ∪ [ 6 , ∞ ) </em>
<em>C ∩ D = ∅ </em>
Well, the numerator alone is
(5•4•3•2)! = 120 !
and the denominator alone is
5!= 120 .
So the value of the whole fraction is
119 !