Table of Contents
- 1 How many ways can you arrange the word laptop?
- 2 How many ways can the letters in the word COMPUTER be arranged in a row?
- 3 How many ways can the letters of the word permutations be arranged if the I vowels are all together II there are always 4 letters between P and S?
- 4 How many words can be formed by using the letters of word permutation?
- 5 How many ways can you arrange 3 words?
- 6 How many ways to arrange letters of a word?
- 7 How many alphabets are there in the word algebra?
How many ways can you arrange the word laptop?
In how many different ways can the letters of the word “LAPTOP” be arranged? Total ways of arrangements is, LAPTOP = 6! = 720.
How many ways can the letters in the word COMPUTER be arranged in a row?
Similarly, there is only 1 way to arrange the vowels in the remaining 3 positions. Therefore, there are 56 ways to arrange COMPUTER, given the above constraint. Alternatively we can choose to position the vowels first. We will get C(8,3) = 56 ways to select a combination of positions on which the vowels must stay.
How many ways can the letters of the word permutations be arranged if the I vowels are all together II there are always 4 letters between P and S?
In how many ways can the letters of the word “PERMUTATIONS” be arranged so that there are always 4 letters between ‘P’ and ‘S’? There should always be 4 letters between P and S. Therefore, total number of permutations = 14 × 1814400 =25401600.
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 computer can be arranged?
The number of ways the letters of the word COMPUTER can be rearranged is. 40320. 40319.
How many words can be formed by using the letters of word permutation?
There are 12 letters in “Permutations” – 1 P and 1 S (we’ll work with the other letters in a minute). and so on, for a total of 7 placements. We can also reverse the order of P and S, thus doubling the number of placements to 14. which gives 10×9×8×7×6×5×4×3×2×1=10!
How many ways can you arrange 3 words?
A three letter word when all the letters are different, the number of the ways is C(43)⋅3! =24 ways.
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 different letters are there in the English alphabet?
The letter “E” appears twice, hence although we 6 letters word, there are only 5 “different” letters or alphabets. lets label these two “E”s as E 1 and E 2.
Does order matter when you form words using alphabets?
When you form words using alphabets (or letters), the ‘order’ matters. Now you form words: CAT is not same as ACT; both words have different meanings hence order matters. This is a permuation problem. Question: How many words can you form with 3 letters: A, C, T?
How many alphabets are there in the word algebra?
The letters of the word ‘algebra’ can be arranged in 7!/2! ways. Taking ‘aa’ together as a single unit, the number of alphabets now left in the word are 1 + 5 = 6 (since ‘aa’ is a single unit now). These 6 units can be arranged within themselves in 6! ways.