Acertain stock exchange designates each stock with a one-, two-, or three-letter code, where each letter is selected from the 26 letters of the alphabet. if the letters may be repeated and if the same letters used in a different order constitute a different code, how many different stocks is it possible to uniquely designate with these codes? a. 2,951 b. 8,125 c. 15,600 d. 16,302 e. 18,278

e.18278

Step-by-step explanation:

We are given that a certain stock exchanges designates each stock with a one, two or three letter code, where each letter is selected from the 26 letters of the alphabet.

Total number of letters=26

If code is made from one letter

Then , total number of ways=26

If code is made from two letters and repetition is allowed

Then , total number of ways=

If code is made form three letter and repetition is allowed

Then, total number of ways=

Total number of ways=26+676+17576=18278 ways

Hence, number of different stocks designated  with these codes=18278.

e.18278

none cuz there are no "following statements" regarding the question

step-by-step explanation:

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15