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Diplodocus

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15y ago

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How many permutations of the letters a through J are there?

The letters from a to J consist of 10 distinct letters. The number of permutations of these letters is calculated using the factorial of the number of letters, which is 10!. Therefore, the total number of permutations is 10! = 3,628,800.


How many distinguishable ways can you arrange the letters aaabb?

To find the number of distinguishable arrangements of the letters "aaabb," we use the formula for permutations of multiset: [ \frac{n!}{n_1! \times n_2!} ] where ( n ) is the total number of letters, ( n_1 ) is the number of indistinguishable letters of one type, and ( n_2 ) is the number of indistinguishable letters of another type. Here, ( n = 5 ) (total letters), ( n_1 = 3 ) (for 'a'), and ( n_2 = 2 ) (for 'b'). Calculating this gives: [ \frac{5!}{3! \times 2!} = \frac{120}{6 \times 2} = \frac{120}{12} = 10 ] Thus, there are 10 distinguishable ways to arrange the letters "aaabb."


How many months of the year contain 10 or more letters in their name?

There are three months of the year that contain 10 or more letters in their name: January, September, and November. Each of these months has exactly 10 letters.


If automobile license plates consist of two letters followed by four digits how many different license plates ae possible if letters and numbers can be repeated?

There are 26 possible letters and 10 possible numbers. The number of license plates possible is then 26*26*10*10*10*10 = 6760000.


What type of drum has 6 letters?

A Tom-Tom