Question

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?

Answer 1

Answer: 45

Explanation:

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

`C(n;r)=(n!)/((n-r)!)`

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 :-

`C(10;2)=(10!)/(2!(10-2)!)\\\\=(10*9*8!)/(2*8!)=(90)/(2)=45`

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

Answer 2

she can make 50 different selections!

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:

`10C_(2) = (10!)/(2!(10-2)!) = (10!)/(2!8!) = (90)/(2) =50`

So she can make 50 different selections!