Question

Jeanine Baker makes floral arrangements. She has 18 different cut flowers and plans to use 4 of them.

many different selections of the 4 flowers are possible?

Answer 1

3060

Explanation:

The way we get this answe is using the formula nCr

18 is n, because thats the number of objects in the set

4 is r, because thats the number of objects to be used

we can write the equation as 18!/(18-4)!4!

Remember, to calculate any number with an '!' after it, you would do this

18!=18x17x16x15x14x13x12x11x10x9x8x7x6x5x4x3x2x1

which equals

6,402,373,705,728,000

Now, we calculate (18-4)!

18-4= 14

14!=14x13x12x11x10x9x8x7x6x5x4x3x2x1

which equals

87,178,291,200

now, we calculate 4!

4!=4x3x2x1 =24

Now, we solve

24x 87,178,291,200

equals

2,092,278,988,800

6,402,373,705,728,000 divided by that

Equals 3,060

Hope this helps!