Question

In how many ways can clean & clouded (overcast) days occur in a week assuming that an entire
day is either clean or clouded.
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Answer 1

Answer:

dear,

one day can have 2 options, clean or cloudy

and there are 7 days in a week so

2*2*2*2*2*2*2*=2^7

=128 ways

Answer 2

Answer:

The number of ways are $2^7$

Step-by-step explanation:

Consider the provided information.

It is given that an entire  day is either clean or clouded.

So that means we have 2 choices, either clean or clouded.

As we know there are 7 days in a week.

For the First day we have 2 choices.

For the Second day we have 2 choices.

For the Third day we have 2 choices.

For the Fourth day we have 2 choices.

For the Fifth day we have 2 choices.

For the Sixth day we have 2 choices.

For the Seventh day we have 2 choices.

Thus, the number of ways are: $2\times 2\times 2\times 2\times 2\times 2\times 2=2^7$

Hence, the number of ways are $2^7$