How many 2-letter code words can be formed from the letters Upper B comma Upper C comma Upper A comma Upper O comma Upper Q comma Upper W if no letter is repeated? If letters can be repeated? If adjacent letters must be different?

no letter is repeated: 30 words

letters can be repeated: 36 words

adjacent letters different: 30 words

Step-by-step explanation:

We have a total of 6 letters to create a 2-letter code, so if the letters can't be repeated, the first letter has 6 possible values and the second letter has 5 possible values, so the number of 2-letter code words is:

N = 6*5 = 30 words

If the letters can be repeated, each letter has 6 possible values, then we have:

N = 6*6 = 36 words

If adjacent letters must be different, the two letters in the code must be different, because they are adjacent to each other, so we have:

N = 6*5 = 30 words

h

step-by-step explanation:

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is