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seraphim [82]
3 years ago
8

A yogurt shop allows its customers to add, for no charge, 3 toppings to any yogurt purchased. If the store has 16 possible toppi

ngs, how many different 3-topping combinations can a customers choose?
Mathematics
2 answers:
konstantin123 [22]3 years ago
5 0

Answer:

48.

Step-by-step explanation:

you multiply 16 x 3 to get your final answer.

aniked [119]3 years ago
4 0

Answer: 560

Step-by-step explanation:

We know that the combination of n things taken x things at a time is given by :-

^nC_x=\dfrac{n!}{x!(n-x)!}

Now, the number of different 3-topping combinations can a customers choose from 16 combination is given by :-

^{16}C_3=\dfrac{16!}{3!(16-3)!}\\\\=\dfrac{16\times15\times14\times13!}{3!13!}=560

Hence, the number different 3-topping combinations can a customers choose from 16 combination = 560

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Josh is going to the store to buy cakes to share with the fifth grade. He wants to share the cakes with 86 students. He buys 35
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Answer:

Everyone will get \frac{35}{86} amount of cakes.

Step-by-step explanation:

Given:

Number of Cakes Josh buys = 35

Number of Students Josh wants to share = 86

Josh need to share cakes with fifth grade students.

We need to find the fraction of cakes everyone will get.

So to find the the fraction of cakes everyone will get can be calculated by dividing Number of Cakes Josh buys with Number of students he want to share with.

Amount of cakes Every one will get = \frac{\textrm{Number of Cakes}}{\textrm{Number of Students}}

Now Substituting the values we get;

Amount of cakes Every one will get = \frac{35}{86}

Hence Everyone will get \frac{35}{86} amount of cakes.

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Answer:

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Answer:

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