. Find the number of possible call letters of a radio station (8 letters long) if the first letter must be a W or a K and no letter is repeated\.\*

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22-07-2022
Mathematics

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. Find the number of possible call letters of a radio station (8 letters long) if the first letter must be a W or a K and no letter is repeated\.\*

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barackodam barackodam · Answer 1 · 2022-07-29T17:47:50+02:00

the number of possible call letters of a radio station (8 letters long) if the first letter must be a W or a K and no letter is repeated is 4, 845, 456, 0000 call letter

How to determine the number

From the given information, we need to find the number which is

call letters to a radio station is 7 letters long
the first letter must be a W or a K

No letters are repeated.

First letter have only two possibility.

But we know that there are a total of 26 letters in alphabet.

First letter must be W or K. So remaining 25 letters.

The Remaining 7 letters can be any alphabet (25 letters)

We also know that np letters are repeated.

So, the second letters have 25 possibility and the third letter have 24 possibility and so one;

Thus, we have

= 2 × 25 × 24 × 23 × 22 × 21 × 20 × 19

Multiply through

= 4, 845, 456, 0000 call letter

Thus, the number of possible call letters of a radio station (8 letters long) if the first letter must be a W or a K and no letter is repeated is 4, 845, 456, 0000 call letter

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