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 4 letters in its codes, and all letters can be repeated in any one code? Options.
A) A.15600
B) B.16226
C) C.17576
D) D.18278
E) E.475254
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   The total : By adding all of them , 26+676+17576+456976=475254   E.475254.
<result>E</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 4 letters in its codes, and all letters can be repeated in any one code?