A company assigns product codes consisting of all the letters in the alphabet.How many product codes are possible if the company uses at most 5 letters in its codes, and all letters can be repeated in any one code?
Choices:
A) A.15600
B) B.1622654
C) C.12356630
D) D.24515230
E) E.28572218
The no of ways in which the company can make codes of 1 letter : 26   # for 2 letters :   26*26= 
<gadget id="calculator">  26*26</gadget>
<output>676</output>
676   # for 3 letters :   26 * 26*26= 
<gadget id="calculator">  26 * 26*26</gadget>
<output>17_576</output>
17576   # for 4 letters :   26 * 26*26*26= 
<gadget id="calculator">  26 * 26*26*26</gadget>
<output>456_976</output>
456976   # for 5 letters :   26 * 26*26*26*26= 
<gadget id="calculator">  26 * 26*26*26*26</gadget>
<output>11_881_376</output>
11881376   The total : By adding all of them , 26+676+17576+456976+11881376=12356630   C.12356630
<result>C</result>
A company assigns product codes consisting of all the letters in the alphabet.How many product codes are possible if the company uses at most 5 letters in its codes, and all letters can be repeated in any one code?