Question

How many alphabets need to be there in a language if one were to make $1$ million distinct $3$ digit initials using the alphabets of the language?

• A. $10$
• B. $100$
• C. $56$
• D. $26$

Answer 1

Answer: (B)

$100$

Digits with initials$=3$

Total number of initials$=1million=1000000$

Let the alphabets in language be $x$

initials

$=x^3=1000000={10}^6\Rightarrow x={10}^2$

Therefore $100$ alphabets are present