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hello welcome everyone in how many ways can the letter of the word statistics be arranged now we are going to color the word statistics letter theres of the same we color them the same color for example s in blue T in green a only one a so its in oh uh a in Black so C should be a different color okay please color this in a different color because yes yeah different so different color make orange or white I is the same so in red T in green but thats it yeah so as uh assuming that there are of different uh letters so you have 10 letters so the number of ways to arrange the 10 letters is 10 factorial okay but we have three letters of the same so we need to correct them by dividing by three and then we have another three of the the T or the green one you have to divide by three factorial and then there are two I we have to divide by a two factorial and then we have to multiply them divided by them okay the A and C are different so we dont need to do anything okay so this is the this i
