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Q: How many different permutations are there of 4 objects taken 4 at a time?

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The number of permutations of 20 things taken 20 at a time is 20 factorial or 2,432,902,008,176,640,000.

12

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.

The number of different ways you can arrange the letters MNOPQ is the number of permutations of 5 things taken 5 at a time. This is 5 factorial, or 120.

The number of ways 7 different books can be stacked on a shelf is the same as the number of permutations of 7 things taken 7 at a time, which is 7 factorial, or 5040.

Related questions

Permutations = 4 x 3 x 2 = 24Combinations = (4 x 3 x 2) / (3 x 2 x 1) = 24/6 = 6

The number of permutations of five things taken five at a time is five factorial, or 120.

The number of different ways that you can arrange 15 different items is given by the permutations of 15 things taken 15 at a time. That is 15 factorial, or 1,307,674,368,000.

The number of permutations of 13 things taken 13 at a time is 13 factorial, or 6,227,020,800.

The number of permutations of 20 things taken 20 at a time is 20 factorial or 2,432,902,008,176,640,000.

If they are all different, then 40320.

There are 5*4*3 = 60 permutations.

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.

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 ways can we arrange 9 objects taken 3 at a time?

12

How many permutations of 3 different digits are there, chosen from the ten digits 0 to 9 inclusive?