Question

how many website Graphics can be created using at least six of nine different bitmap images? combinations

Answer 1

To calculate the number of website graphics that can be created using at least six of nine different bitmap images, we can use the concept of combinations. Using the formula for combinations and applying it to this scenario, we find that the number of website graphics is 84.

Step-by-step explanation:

To calculate the number of website graphics that can be created using at least six of nine different bitmap images, we can use the concept of combinations. In this case, we want to calculate the number of combinations of 9 bitmap images taken 6 at a time. The formula for calculating combinations is nCr = n! / ((n - r)! * r!).

Using this formula, we can calculate the number of combinations as follows:

1. Calculate the factorials of 9, 6, and 3 (9! = 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1, 6! = 6 x 5 x 4 x 3 x 2 x 1, 3! = 3 x 2 x 1).
2. Plug the values into the formula: nCr = 9! / ((9 - 6)! * 6!).
3. Simplify the calculation using the factorials: nCr = 9 x 8 x 7 / (3 x 2 x 1).
4. Calculate the result: nCr = 84.

Therefore, using at least six of the nine different bitmap images, the number of website graphics that can be created is 84.

Answer 2

We need to use the combination formula, which is given by:

`\text{nCr}=(n!)/((n-r)!r!)`

Where n is the total of bitmap and r is the combinations.

Replacing:

`9C6=(9!)/((9-6)!6!)`
`9C6=(9x8x7x6!)/(3!6!)`
`9C6=(9x8x7)/(3!)`
`9C6=84`

There are 84 website graphics that can be created using at least six of nine different bitmap images.