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What is the number of distinct arrangements of the letters of the word ugccsir so that you and i cannot come together?

from itertools import permutationsfrom string import joinarrangements = [ ]for p in permutations ( 'ugccsir', 6 ) :arrangement = join ( p, '' )if 'ui' in arrangement :continueif not arrangement in arrangements :arrangements . append ( arrangement )print len ( arrangements )The above Python code gives a result of 2,220.


How many arrangements in the lettered olive can you make if each arrangement must use three letters?

There are 5*4*3 = 60 arrangements.


How many arrangements with at least 3 letters can be made using the letters in the word FRIDAY if the arrangement must always contain an F?

There are (1*5*4)*(3*2*1) = 120 arrangements.


How many arrangements of the letters BOX are possible if you use each letter only once in each arrangement?

The word "BOX" consists of 3 distinct letters. The number of arrangements of these letters can be calculated using the factorial of the number of letters, which is 3! (3 factorial). Therefore, the total number of arrangements is 3! = 3 × 2 × 1 = 6. Thus, there are 6 possible arrangements of the letters in "BOX."


How many four-letter arrangements can be made of the letters a c e f and h if there is repetition of letters?

There are 5 letters: a c e f and h.If the letters can be repeated, then there are five possibilities for each space in the four-letter arrangement. The number of arrangements then is:5*5*5*5 = 54 = 625.


How many different 5 letter arrangements can be formed from the letters in the name CATHY if each letter is used only once in each arrangement?

120


How many two letter arrangements can be made using the letters from PARK?

There are 12 two letter arrangements of the letters in PARK.


How many different arrangement can be made by taking 4 letter of the word ENGLISH?

Answer: 7P4 = 840 arrangementsNumber of letters in the word ENGLISH : 7Number of letters to take: 4Number of arrangements:= 7P4= 7!/(7-4)!= 5040/6= 840


What is the correct arrangement of the letters 'QLUEA'?

The correct arrangement is EQUAL.


How many different arrangements can be made with the letters in the word Iowa?

There are 4 letters in IOWA, all non repeating. Arrangements are 4! or 24.


How many different four letter arrangements are there of the letters Tennessee?

There are 172 different arrangements.


How many different arrangements are there of the letters in Harrell?

There are 7!/(2!*2!) = 1260 arrangements.