=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 can 3 letters be arranged?
- Therefore, the number of ways in which the 3 letters can be arranged, taken all a time, is 3! = 3*2*1 = 6 ways. How many ways can a 9 letter word be arranged?
How many ways can 5 letters be arranged?
60 is the number of ways to arrange 5 letters (alphabets) word “PEACE” by using Permutations (nPr) formula.
How many ways can 4 letters be arranged?
How many different ways can the letters P, Q, R, S be arranged? The answer is 4! = 24. The first space can be filled by any one of the four letters.
How many ways can 8 letters be arranged?
Enter your objects (or the names of them), one per line in the box below, then click “Show me!” to see how many ways they can be arranged, and what those arrangements are. Note: 8 items have a total of 40,320 different combinations.
How many ways can 7 letters be arranged?
According to the probability, 7 letter word can be arranged in 5040 ways, which is 7!.
How many ways can a 6 letter word be arranged?
So the six letters can be a combination of 6×5×4×3×2×1 letters or 720 arrangements.
How many ways can 10 letters be arranged?
50400 is the number of ways to arrange 10 letters (alphabets) word “STATISTICS” by using Permutations (nPr) formula.
How many ways can 3 letters be arranged?
Factorial Formula
For example, the factorial of 5, 5! = 5*4*3*2*1 = 120. Therefore, the number of ways in which the 3 letters can be arranged, taken all a time, is 3! = 3*2*1 = 6 ways.
How many ways can a 9 letter word be arranged?
362880 is the number of ways to arrange 9 letters (alphabets) word “FRACTIONS” by using Permutations (nPr) formula.
How many combinations of 4 items are there?
If you meant to say “permutations”, then you are probably asking the question “how many different ways can I arrange the order of four numbers?” The answer to this question (which you got right) is 24.
How many combinations of 5 items are there?
Note that your choice of 5 objects can take any order whatsoever, because your choice each time can be any of the remaining objects. So we say that there are 5 factorial = 5! = 5x4x3x2x1 = 120 ways to arrange five objects. In general we say that there are n!
How many combinations of 7 items are there?
There are 7 ways of choosing the first, 6 ways of choosing the second and 5 ways of choosing the third. 7*6*5=210. So you get 7∗6∗53∗2∗1 7 ∗ 6 ∗ 5 3 ∗ 2 ∗ 1 = 35 ways.
How many combinations of 3 items are there?
3*3*3=27 unique possibilities. This number is small enough to enumerate the possibilities to help your understanding (like the other tutors did), but the digits^base expression (with “^” meaning exponentiation) is important.
How many ways can a word be arranged calculator?
Number of Ways to Arrange n Letters Word Calculator
Number of Ways to Arrance ‘n’ Letters of a Word | |
---|---|
‘n’ Letters Words | Ways to Arrange |
8 Letters Word | 40,320 Distinct Ways |
9 Letters Word | 362,880 Distinct Ways |
10 Letters Word | 3,628,800 Distinct Ways |
How many ways can the 7 letters A B C D E F and G be arranged so that C and E never together?
In how many ways can the 7 letters A,B,C,D,E,F and G be arranged so that C and E never together. (a) 5040.
How many ways are there to rearrange the letters in banana?
There are 3×2×1 = 6 ways to rearrange the A’s and 2×1 = 2 ways to rearrange the N’s. So, there are: 720/(6×2) = 720/12 = 60 ways to rearrange all the letters in BANANA.