Suppose we want to choose 7 colors, without replacement, from 11 distinct colors. (a) How many ways can this be done, if the order of the choices is not taken into consideration?
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(b) How many ways can this be done, if the order of the choices is taken into consideration?

330 ways ;

1663200 ways

Step-by-step explanation:

Choosing 7 colors from 11 distinct colors;

If order isn't taken into consideration :

We use combination :

nCr = n! ÷ (n-r)!r!

11C7 = 7! ÷ (11 - 7)!7!

11C7 = 11! ÷ 4!7!

11C7 = 11 * 10 * 9 * 8) / 4 * 3 *2 *1

11C7 = 7920 / 24

11C7 = 330 ways

If the order is taken into consideration :

We use permutation :

nPr = n! ÷ (n - r)!

11P7 = 11! ÷ (11 - 7)!

11P7 = 11! / 4!

11P7 = (11 * 10* 9 * 8 * 7* 6 * 5)

11P7 = 1663200 ways

part a

in a city ice cream is mostly only bought when the temperature is very high as ice cream cools down our

so we can derive the conclusion that as the temperature increases the number of ice creams sold also increases

part b

y intercept is 5

slope is 2

happy to

pls mark as brainliest

it could be 1,3 and more others to create a cylinder.

step-by-step explanation: