Consider the expansion of (1+x)n. Your problem is that you get both odd and even powers of x. How could you add another expansion to make only the odd powers disappear?Lilia said:I know what is the binomial theorem but I don't know how to transform this formula to get the binomial form of it
N-length words refer to words that have a specific number of letters or characters. For example, if n = 5, then n-length words would be words with 5 letters or characters.
The number of n-length words can be calculated using the formula n^k, where n is the number of possible characters and k is the length of the word. For example, if n = 26 (for the 26 letters in the alphabet) and k = 5, then there are 26^5 or 11,881,376 possible 5-length words.
Words with repeating letters have the same letter appear multiple times, while words without repeating letters have each letter appear only once. For example, the word "apple" has repeating letters (the letter "p" appears twice), while the word "cat" does not have repeating letters.
Yes, n-length words can include numbers and special characters depending on the definition of "character" used. If we are referring to alphanumeric characters (letters and numbers), then n-length words can include numbers. If we are referring to only letters, then n-length words would not include numbers or special characters.
As n increases, the number of n-length words also increases. This is because as n increases, there are more possible combinations of letters or characters, resulting in a larger number of words. For example, the number of 4-length words is less than the number of 5-length words, and the number of 5-length words is less than the number of 6-length words, and so on.