How many word can be formed by taking 4 letters at a time out of the letters of the word mathematics?

How many word can be formed by taking 4 letters at a time out of the letters of the word mathematics?

Step-by-step explanation: We have 8 distinct letters( M,A,T,H,E,I,C,S). We choose any 4 from this and then arrange it in 8P4 ways=1680 ways.

How many 4 letter words can be formed using the letters of the word college if each letter has to be distinct?

∴ 840 four-letter words can be formed when the repetition of letters is not allowed.

How many different words can be formed by taking 4 letters from the word arrange without replacement?

Using properties of factorial, we can write the numerator as, ⇒10P4=10×9×8×7×6! 6! Therefore, the number of four-letter words that can be formed is 5040.

How many 4 letter words can be formed using the letter of the word mathematics?

Therefore, the number of ways in which four letters of the word MATHEMATICS can be arranged is 2454.

How many ways we can arrange 4 letters from Professor?

Now we can arrange 4 letters of which 2 are of 1 kind in ways. So this case gives a total of ways=756 ways.

How many different words of 4 letters can be formed with the letters of the word examination?

Therefore total of 2454 four letter words can we formed from the letters of the word “EXAMINATION”.

How many 4 letter words can be formed using the letters of the word proportion?

Now, each combination can be arranged in 4! 3! . Hence, 758 ways of 4 letter words can be arranged by the letters of the word PROPORTION.

How many words can be formed by taking 4 letters of the word Moradabad?

626 words
626 words can be formed by taking $4$ letters at a time from the letters of the word ‘MORADABAD.

How many 4 letter words can be formed from the letters of the word answer?

Hence, 360 ways of 4 letter words can be formed from the letters of the word ‘ANSWER’ and 120 ways of 4 letter words start with vowels.

How many ways can 4 letters be arranged?

24
The answer is 4! = 24. The first space can be filled by any one of the four letters.

How many ways word can be arranged?

=n×(n−1)×(n−2)×…… ×3×2×1. Therefore, we can arrange the letters in the word ‘FACTOR’ in 720 ways. Thus, this is the required answer.

How many ways are there of selecting 4 letters?

To find: No. of ways of selecting 4 letters. Case I : When all are different letters. => No of ways = 4C4 = 1 ways. Case II : When 3 alike 1 different Here it is to be noted that for 3 letters to be alike, only E is eligible since it is the only letter occurring 3 times. Then remaining single letter is to be selected from 3 types (D,G & R).

How many ways to arrange letters of a word?

Number of Ways to Arrance ‘n’ Letters of a Word ‘n’ Letters Words Ways to Arrange 7 Letters Word 5,040 Distinct Ways 8 Letters Word 40,320 Distinct Ways 9 Letters Word 362,880 Distinct Ways 10 Letters Word 3,628,800 Distinct Ways

How many pairs of letters can be chosen by 3c2?

Two pairs can be chosen by 3C2 3C2 groups of 4 letters each. There are 4 letters of which 2 alike of one kind and two alike of other kind in each group. That can be arranged by 4!/2! × 1/2!

How many different ways can 3 letters be alike?

=> No of ways = 4C4 = 1 ways. Case II : When 3 alike 1 different Here it is to be noted that for 3 letters to be alike, only E is eligible since it is the only letter occurring 3 times. Then remaining single letter is to be selected from 3 types (D,G & R).