How many words can be formed beginning with N and ending in a with the letters of the word Sunday?

Solution

There are 6 letters in the word 'SUNDAY'. The total number of words formed with these 6 letters is the number of arrangements of 6 items, taken all at a time, which is equal to 6P6=6!=6×5×4×3×2×1=720 If we fix up N in the begining, then the remaining 5 letters can be arranged in 5p55! ways so, the total number of words which begin with N = 5! =5×4×3×2×1=120 If we fix tip N in the beginning and Y at the end, then the remaining 4 letters can be arranged in 4P4 4! ways. So, the total number of words which begin with N and end with Y 4! =4×3×2×1= 24.

Solution : Given as The word ‘SUNDAY’<br> The total number of letters in the word ‘SUNDAY’ is 6. <br>Therefore, number of arrangements of 6 things, taken all at a time is` \^6P_6` `= 6! = 6 xx 5 xx 4 xx 3 xx 2 xx 1 = 720` <br> Then, we shall find the number of words starting with N <br> Therefore let’s fix the first position with letter N, now remaining number of letters is 5.<br> Number of arrangements of 5 things, taken all at a time is `\^5P_5` `= 5! = 5 xx 4 xx 3 xx 2 xx 1 = 120` <br> Then, we need to find out a number of words starting with N and ending with Y<br> Therefore let’s fix the first position with letter N and Y at the end, now remaining number of letters is 4 which can be arranged in `^4P_4` ways. `= 4! = 4 xx 3 xx 2 xx 1 = 24`<br> Thus, the total number of words can be made by letters of the word ‘SUNDAY’ is `720`. <br> Possible number of words using letters of ‘SUNDAY’ starting with ‘N’ is `120`. <br>Possible number of words using letters of ‘SUNDAY’ starting with ‘N’ and ending with ‘Y’ is 24.

How many different words can be formed with the letters of word 'SUNDAY'? How many of the words begin with N? How many begin with N and end in Y?

Solution

Total number of words that can be formed with the letters of the word SUNDAY = 6! = 720
Now, if we fix the first letter as N, the remaining 5 places can be filled with the remaining 5 letters in 5! ways, i.e. 120.
If we fix the first letter as N and the last word as Y:
Remaining 4 places can be filled with 4 letters in 4! ways = 24

How many words can be formed from the letters of the Sunday begin with N and end in Y?

<br>Possible number of words using letters of 'SUNDAY' starting with 'N' and ending with 'Y' is 24.

How many different arrangements can be made with the letters of the word Sunday?

1 Answer. There are 720 different ways to arrange the 6 letters in SUNDAY.

How many permutations can be made out of the letters of the word Sunday each beginning with S?

शब्द PERMUTATIONS के अक्षरों को कितने प्रकार से व्यवस्थित किया जा सकता है, यदि <br> शब्द P से प्रारम्भ हो तथा S से समाप्त हो। How many different words can be formed with letters of the word SUNDAY ? How many of the words begin with N? How many begin with N and end Y?

How many words can be formed with the letter of word Sunday taken two at a time?

= 5×4×3×2×1 = 120.