We wish to determine the number of four-letter sequences that are possible if theletters i, I, n, s, and u are the only choicesand if each letter is used at most onceeach.Here a four-letter sequence such as i-l-n-s would be one such sequence,different orderings of the same four letterssuch as i-n-s-I, i-s-l-n, etc. would becounted as entirely different four-lettersequences. Therefore, the order in whichthe letters arewhilepicked mattersmattersStep 2Since the order that the letters are pickedmatters, the number of possible sequencescan be counted using a permutation.Recall that a permutation of n itemstaken r at a time is an ordered listof r items chosen from n, and is writtenas P(n, r).The possible letters are i, I, n, s, and u, andwe wish to form a four-letter sequence.Therefore, we must calculate a permutationofitems takenata time. In other words,

Name: We wish to determine the number of four-letter sequences that are pos
Uploaded: 2024-03-20T06:38:58.000Z
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Description: We wish to determine the number of four-letter sequences that are possible if theletters i, I, n, s, and u are the only choicesand if each letter is used at most onceeach.Here a four-letter sequence such as i-l-n-s would be one such sequence,differe

possible letters: i , l , n , s , u -------(5) wish to form a four letter sequence ---------(4)…

Math

Calculus

Since the order that the letters are picked matters, the number of possible sequences can be counted using a permutation. Recall that a permutation of n items taken r at a time is an ordered list of r items chosen from n, and is written as P(n, r). The possible letters are i, I, n, s, and u, and we wish to form a four-letter sequence. Therefore, we must calculate a permutation of items taken at a time. In other words,