An online store randomly assigns shoppers a confirmation code after making a purchase. the confirmation code consists of 4 letters followed by 3 digits. within the confirmation code, letters can be used only once but digits can be repeated. how many different confirmation codes are possible?

A. 14,950,000
B. 5,311,735
C. 358,800,800
D. 358,800

C. 358,800,800

Step-by-step explanation:

Total digitrs ( from 0 to 9 ) = 10

Total letter ( from a to z ) = 26

To make the code , we require 4 letters followed by 3 digits .

If letter can be used once ( i.e. repetition is not allowed) , then the number of ways to arrange this sequence of letters =  [By using Permutation]

But repetition is allowed for digits , so number of ways to arrnge 3 digits =

Now , the total number of ways tio make the code = 358800  x 1000

=358,800 ,000

Hence, the correct option is C. 358,800,800.

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.

answer: do we write it

step-by-step explanation: