How do you find the number of permutations of the first 13 letter of the alphabet taking 4 letters at a time?
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Answer:
17160 ways
Step-by-step explanation:
Given a total of n objects taken r at a time the the permutation formula is given by :
P(n, r) = n! /(n - r)!
In our case we have that :
n = 13
r = 4
P(13,4) = 13!/(13 - 4)!
= 13!/9!
= (13 × 12 × 11 × 10 × 9!)/ 9!
= canceling out 9! We have :
= 13 × 12 × 11 × 10 = 17160
This is the permutations of 13 alphabets taken r at a time.
Therefore there are 17160 ways of picking n, objects r at a time.
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