How many alphabets need to be there in a language if one were to make 1…

2023

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

  1. A.

    140

  2. B.

    1000

  3. C.

    10

  4. D.

    100

Attempted by 46 students.

Show answer & explanation

Correct answer: D

Solution: 4

Suppose we have A number of alphabets in a language.

⇒ Number of ways to make a 3 letter initial = A × A × A = A3

Given, number of ways to make 3 letter initial = 1 million = 106

⇒ A3 = 106

⇒ A = 102 = 100

∴ The language needs 100 alphabets

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