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How many permutations of 8 objects are there taken 2 at a time?
The number of permutations of 8 objects taken 2 at a time is calculated using the formula for permutations, which is ( P(n, r) = \frac{n!}{(n-r)!} ). For this case, ( n = 8 ) and ( r = 2 ), so it can be expressed as ( P(8, 2) = \frac{8!}{(8-2)!} = \frac{8!}{6!} = 8 \times 7 = 56 ). Therefore, there are 56 permutations of 8 objects taken 2 at a time.
How many different three letter permutations can be from the letter in the word clipboard?
There are 9 * 8 * 7, or 504, three letter permutations that can be made from the letters in the work CLIPBOARD.
How many permutations are possible of the word rainbow?
Since there are no duplicate letters in the word RAINBOW, the number of permutations of those letters is simply the number of permutations of 7 things taken 7 at a time, i.e. 7 factorial, which is 5040.
How many permutations does the string ABC have?
3x2x1=6 permutations.
How many distinguishable and indistinguishable permutations are there in the word algrebra?
The word "algrebra" has 8 letters, with the letter 'a' appearing twice and 'r' appearing twice. To find the number of distinguishable permutations, we use the formula for permutations of multiset: ( \frac{n!}{n_1! \times n_2!} ), where ( n ) is the total number of letters and ( n_1, n_2 ) are the frequencies of the repeating letters. Thus, the number of distinguishable permutations is ( \frac{8!}{2! \times 2!} = 10080 ). Since all letters are counted in this formula, there are no indistinguishable permutations in this context.
How many permutations can you get out of an eight word phrase?
There are 8! = 40320 permutations.
how many permutation of the letters are there in geometry?
There are 8 letters in "geometry", so there are 8! (factorial) ways to arrange them in different permutations. 8! = 40,320 permutations.
How many permutations are there in 8 letters?
If they are all different, then 40320.
How many permutations of 8 objects are there taken 2 at a time?
The number of permutations of 8 objects taken 2 at a time is calculated using the formula for permutations, which is ( P(n, r) = \frac{n!}{(n-r)!} ). For this case, ( n = 8 ) and ( r = 2 ), so it can be expressed as ( P(8, 2) = \frac{8!}{(8-2)!} = \frac{8!}{6!} = 8 \times 7 = 56 ). Therefore, there are 56 permutations of 8 objects taken 2 at a time.
How many permutations are in the word math?
Since the word MATH does not have any duplicated letters, the number of permutations of those letters is simply the number of permutations of 4 things taken 4 at a time, or 4 factorial, or 24.
How many permutations are in the word mathematics?
The word MATHEMATICS has 11 letters. The number of permutations of 11 things taken 11 at a time is 11 factorial (11!), or 39,916,800.
How many different three letter permutations can be from the letter in the word clipboard?
There are 9 * 8 * 7, or 504, three letter permutations that can be made from the letters in the work CLIPBOARD.
How many permutations are possible of the word rainbow?
Since there are no duplicate letters in the word RAINBOW, the number of permutations of those letters is simply the number of permutations of 7 things taken 7 at a time, i.e. 7 factorial, which is 5040.
How many permutations of letters in word swimming?
The number of permutations of the letters SWIMMING is 8 factorial or 40,320. The number of distinct permutations, however, due to the duplication of the letters I and M is a factor of 4 less than that, or 10,080.
How many permutations are in the word geometry?
geometry has 8 letters, 2 of which are the same (e) So, the answer is 8!/2! = 20,160
How many numbers used for 10000 permutation?
8 digits will generate over 40,000 permutations.
How many permutations are there for the letters in the word LOLLIPOP?
LOLLIPOP = 8 letters L=3 O=2 I=1 P=2 number of permutations = 8!/3!2!2! = 8x7x6x5x4x3x2 / 3x2x2x2 = 40320 /24 = 1680
