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There are 9 * 8 * 7, or 504, three letter permutations that can be made from the letters in the work CLIPBOARD.
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.
3x2x1=6 permutations.
There are 195 3-letter permutations.
10! permutations of the word "Arithmetic" may be made.
There are 8! = 40320 permutations.
There are 8 letters in "geometry", so there are 8! (factorial) ways to arrange them in different permutations. 8! = 40,320 permutations.
If they are all different, then 40320.
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.
There are 9 * 8 * 7, or 504, three letter permutations that can be made from the letters in the work CLIPBOARD.
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.
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.
geometry has 8 letters, 2 of which are the same (e) So, the answer is 8!/2! = 20,160
8 digits will generate over 40,000 permutations.
3x2x1=6 permutations.
LOLLIPOP = 8 letters L=3 O=2 I=1 P=2 number of permutations = 8!/3!2!2! = 8x7x6x5x4x3x2 / 3x2x2x2 = 40320 /24 = 1680
There are 6! = 720 permutations.