Permutation and Combination Assessment Answer
- Country :
Australia
Example-10
In how many ways can the 10 letters of the word "STATISTICS" be arranged in a row?
Solution:
Given:
n=10
a = 1 (repeated once)
1-3 (repeated 3 times)
P - 3 (repeated 3 times)
c=I (repeated once)
i = 2 (repeated twice)
Formula:
P=n!/n1!*n2!*n3!..nn!
P=10!/1!*3!*3!*2!*1! = 10*9*8*7*6*5*4*3*2*1/1*1(3*2*1)*(3*2*1*)*(2*1)*(!*!)
P=10!/1!*3!*3!*2!*1! =10*9*8*7*6*5*4*3*2*1/(3*2*1)*(3*2*1)*(2*!)
P = 50,400 ways to arrange in a row
Thus are 50,400 ways by which the letter of the word STATISTICS can be arranged in a row.
Evaluate the following:
- 6!
- 4!
- 7!-5!
- 3!
- 2!.2!
- 8P5
- 10P3
- 4P4
- 5P0
