Answer

Verified

386.7k+ views

**Hint:**Here, we will find a number of possible ways to fill the first place of the word then while remembering that it cannot be \[a\]. Then we will follow the same procedure to fill the second place and the rest of the place. Finally, we will multiply all the possible ways to get the required answer.

**Complete step-by-step answer:**

The first 5 letters of the alphabet are a, b, c, d and e.

But, it is given that the first letter of the word cannot be \[a\], so,

The possible way to fill first place of the word \[ = 4\] ways

Next, the second letter cannot be the same as the first but we can use all the other four letters.

So, the possible way to fill second place of the word \[ = 4\] ways

Next, the third will not be the same as the first and second.

So, the possible way to fill second place of the word \[ = 3\] ways

Similarly, the possible way to fill second place of the word \[ = 2\] ways

**So, the total number of ways \[ = 4 \times 4 \times 3 \times 2 = 96\] ways**

A total of 96 four letter words can be formed by the first 5 letters.

A total of 96 four letter words can be formed by the first 5 letters.

**Note:**

Here, it is mentioned that no two letters should be the same which means repetition is not allowed. So, we can make mistakes if we repeat the digits. Also, it is mentioned that only the first letter cannot be ‘a’, on the other three places we can place ‘a’. The method of arranging elements from a set of elements such that the order of arrangement matters is called a permutation.

Recently Updated Pages

What number is 20 of 400 class 8 maths CBSE

Which one of the following numbers is completely divisible class 8 maths CBSE

What number is 78 of 50 A 32 B 35 C 36 D 39 E 41 class 8 maths CBSE

How many integers are there between 10 and 2 and how class 8 maths CBSE

The 3 is what percent of 12 class 8 maths CBSE

Find the circumference of the circle having radius class 8 maths CBSE

Trending doubts

Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Which are the Top 10 Largest Countries of the World?

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Write a letter to the principal requesting him to grant class 10 english CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

Difference Between Plant Cell and Animal Cell

10 examples of law on inertia in our daily life