Lucy Furr must supply 2 different bags of chips for a party. She finds 10 varieties at her local grocer. How many different selections can she make?

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Gasaqui Gasaqui · Answer 1 · 2019-07-20T20:37:38+02:00

Answer:

she can make 50 different selections!

Step-by-step explanation:

To find the different selections that can be made, we use the formula:

nCr = n! / r! * (n - r)!. Where 'n' represents the number of items available and 'r' represents the nuber of items being chosen

In this case:

'n' equals 10 and 'r' equals 2. Therefore:

[tex]10C_{2} = \frac{10!}{2!(10-2)!} = \frac{10!}{2!8!} = \frac{90}{2} =50[/tex]

So she can make 50 different selections!

JeanaShupp JeanaShupp · Answer 2 · 2019-10-15T05:49:15+02:00

Answer: 45

Step-by-step explanation:

The combination of n things taking r at a time is given by :-

[tex]C(n;r)=\dfrac{n!}{(n-r)!}[/tex]

Given : Lucy Furr must supply 2 different bags of chips for a party.

She finds 10 varieties at her local grocer.

Then the number of different selections she can make is given by :-

[tex]C(10;2)=\dfrac{10!}{2!(10-2)!}\\\\=\dfrac{10\times9\times8!}{2\times8!}=\dfrac{90}{2}=45[/tex]

Hence, the number of different selections she can make= 45