Question

Using all the letters of the word "English", how many words can be formed, whi begin with G and end with H?​

Answer 1

Answer:

USING ALL THE LETTERS OF THE WORD ENGLISH HOW MANY WORDS CAN BE FORMED WITH BEGIN WITH G AND ENDS WITH H

Step-by-step

explanation:

Answer 2

Answer:

120  words can be formed, which begin with G and end with H

Step-by-step explanation:

• In the above question, we are asked to write the numbers of words that can be formed using all the letters of the word “ENGLISH” and in each of the options the conditions for framing the words are different. We will start by counting the total letters in the word ‘English’ and then we will sort out  begin with G and end with H. After this, we begin solving the subparts of the question step by step.
• Given : 'ENGLISH': Total letters are 7.
• it is a permutation question.
• Total number of words = 7
• Required number =$\begin{array}{r}{ }^{7} P_{7}=7 \text { ! } \\=7*6*5 * 4 * 3 * 2 * 1=5040\end{array}$

begin with G and end with H:

Combination are given below:

Glish

Glenish

Gilsh

Gislh

Gliensh

Glinesh

.....

In this part, we have fixated the first and last place with G and H respectively so the remaining places to be filled are 5 and that can be filled by arranging the 5 different letters in  blanks which is equal to:

 $5!=5*4*3*2*1=120$

Learn more about permutation and combination

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