Question

The chairs of an auditorium are to be labeled with an uppercase English letter
followed by a positive integer not exceeding 100. What is the largest number of
chairs that can be labelled differently?
(A)26
(B)100
(C)2600
(D)126​

Answer 1

Given :- The chairs of an auditorium are to be labelled with an uppercase English letter followed by a positive integer not exceeding 100. What is the largest number of chairs that can be labelled differently ?

(A) 26

(B) 100

(C) 2600

(D) 126

Solution :-

we know that , english letter has total 26 alphabets .

The procedure of labeling a chair consists of two tasks :-

• Assigning to the seat one of the 26 uppercase English letters .
• Assigning to it one of the 100 possible integers.

So, using Product rule we get,

→ Total different ways that a chair can be labelled = 26 * 100 = 2600 (C) (Ans.)

Therefore, the largest number of chairs that can be labelled differently is 2600.

Learn more :-

if a nine digit number 260A4B596 is divisible by 33, Then find the number of possible values of A.

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Answer 2

Answer:

26.100=2600

Step-by-step explanation: