A password consists of two letters of the alphabet followed by three digits chosen from 0 to 9.

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Miscellaneous Company Exam Company

26*26*10*10*10=676000
9 years agoHelpfull: Yes(11) No(0)
C
26*26*10*10*10
9 years agoHelpfull: Yes(5) No(0)
26*26*10*10*10=676000
9 years agoHelpfull: Yes(4) No(0)
_ _ _ _ _ | | | | | 26 26 10 10 10
26*26*10*10*10=676000...
7 years agoHelpfull: Yes(0) No(1)

Answer

Verified

∴ First place can be filled by any of 26 letters and second place by same and at remaining each place can be filled by 10 ways.∴ Total number of passwords = number of ways filling these five places$\begin{gathered} = 26 \times 26 \times 10 \times 10 \times 10 \\ = 676000 \\ \end{gathered} $∴ Option (C) is correct.

Note:

A permutation is an act of arranging the objects or numbers in order. Combinations are the way of selecting the objects or numbers from a group of objects or collection, in such a way that the order of the objects does not matter.The formula for permutations is: ${}^n{P_r} = \dfrac{{\left| \!{\underline {\, n \,}} \right. }}{{\left| \!{\underline {\, {n - r} \,}} \right. }}$

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