John has 6 pairs of pants and 3 shirts. How many possible outfits consisting of one shirt and

Mathematics

1 answer:

kogti [31]2 years ago

3 0

Answer:

4*5*7=140 ways

Step-by-step explanation:

First he has to decide on a pair of pants and he has 4 different choices.

For each of those choices he has a choice of 7 different shirts, so that gives him 4 times 7 = 28 different pant/shirt combinations. (I hope none of the pants are striped and none of the shirts have polka-dots).

For each those 28 possibilities, he has 5 different ties he could select, so altogether he has 28 times 5 = 140 different outfits, and some of them may be acceptable to wear in public.

It is simply , 4*5*7=140 ways.

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If a multiple choice test consists of questions, each of which with of which only 1 is correct, (a) in how many different way

oksian1 [2.3K]

Answer:

Step-by-step explanation:

From the given information.

suppose a multiple choice test consists of 5 questions, each with 4 possible answers of which 1 is correct.:

So, we can now suggest that a person can answer each question in 4 different ways given that there are 5 different questions.

Thus, the students can check off one answer to each question in $4^5 \ different \ ways$