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Earn +20 ptsQ: How many permutations of 8 objects are there taken 2 at a time?
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How many permutations exist of the letters a b c d taken two at a time?
12
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 different ways could Henry have arranged 20 photographs?
The number of permutations of 20 things taken 20 at a time is 20 factorial or 2,432,902,008,176,640,000.
How many permutations and combinations are there of 8 objects taken 5 at a time?
For the permutation the equation is (8!)/(5!) assuming there is no replacement. Which is 8*7*6 = 336 For combinations the equation is (8!)/((5!)(8-5)!) = (8!)/((5!)(3)!) = (8*7*6)/(6) = 56
The number of permutations of n distinct objects taken r at a time is nPr equals n divided by n-r?
nPr is n!/(n-r)!. The ! is factorial; for example 5! = 5*4*3*2*1.
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