Noah has 5 meters of rope. how many pieces of rope of length 1/2 meter can he cut from it?

Mathematics

1 answer:

Allushta [10]3 years ago

3 0

Answer:

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A certain restaurant offers 8 different salads, 5 different main courses, 6 different desserts. If customers choose one salad, o

Naddika [18.5K]

Answer: E. 1200

Step-by-step explanation:

Given : A certain restaurant offers 8 different salads, 5 different main courses, 6 different desserts.

i.e. No. of choices for different salads= 8 -----(1)

No. of choices for different main courses = 5 ----(2)

No. of choices for different desserts = 6

When we choose two different desserts then we use permutation(repeatition not allowed) :

$^6P_2=\dfrac{6!}{(6-2)!}=\dfrac{6\times5\times4!}{4!}=6\times5=30$ ----(3)

[∵ No. of ways to choose r things out of n = $^nP_r=\dfrac{n!}{(n-r)!}$ ]

If customers choose one salad, one main course and two different desserts for their meal , then By Fundamental principle of counting (Multiply (1) , (2) and (3)), the number of different meals are possible :-

$8\times5\times30\\\\=1200$