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Nataly_w [17]
3 years ago
13

Jeanine baker makes floral arrangements. She has 12 different cut flowers and plans to use 5 of them. How many different selecti

ons of the flowers are possible? How many ways can the 5 flowers be chosen?
Mathematics
1 answer:
Alona [7]3 years ago
4 0
Assuming that the order of selection is not important, this is a question of number of ways. In other words, the combination should be computed. That is,

Number of ways of selection 5 flowers = 12C5 = 12!/{5!*(12-5)!} = 12!/{5!*7!} = 792

Therefore, there are 792 ways in which 5 flowers can be selected from the available 12 flowers.
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Let u= <4,3>. Find the unit vector in the direction of u, and write your answer in component form.
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Take the vector u = <ux, uy> = <4, 3>.

Find the magnitude of u:

||u|| = sqrt[ (ux)^2 + (uy)^2]

||u|| = sqrt[ 4^2 + 3^2 ]

||u|| = sqrt[ 16 + 9 ]

||u|| = sqrt[ 25 ]

||u|| = 5

To find the unit vector in the direction of u, and also with the same sign, just divide each coordinate of u by ||u||. So the vector you are looking for is

u/||u||

u * (1/||u||)

= <4, 3> * (1/5)

= <4/5, 3/5>

and there it is.

Writing it in component form:

= (4/5) * i + (3/5) * j

I hope this helps. =)
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