The combination helps us to know the number of ways an object can be arranged without a particular manner. A combination is denoted by 'C'.

$^nC_r = \dfrac{n!}{r!(n-r)!}$

where,

n is the number of choices available,

r is the choices to be made.

We know that the number of choices with John for his baked goods is only two which are muffins or bread, therefore, the choices of the baked good can be written as $^2C_1$ .

Also, the number of choices with John for flavors is four which are blueberries, bananas, apples, or chocolate chips, therefore, the choices of the flavor can be written as $^4C_1$ .

Now, the total possible choices that John had

= The choices of the baked good x The choices of the flavor

$=\ ^2C_1 \times ^4C_1\\\\=\ 8$

Hence, the total number of possible choices that John had for making baked goods for the party is 8.

Learn more about Combination:

brainly.com/question/11732255

8 0

2 years ago

Help please I’m stuck.

Viktor [21]

Just do 3^2 * 3^2 he is incorrect because he multiplied the exponents and he was suppose to add them together. the correct answer should be 3 to the 4th power which is 81

3 0

3 years ago