PERMUTATION AND COMBINATION - 6
Factorial ( NPR )
N! = NO. of ways in which n-different objects can be arranged linearly.
N! / (N-r)! = nPr = no. of ways in which an ‘r’ object out of ‘n’ object can be arranged linearly.
Permutation of n object taken in r = npr
Representation of npr = p(n,r) or nPr
Where ( r<= n )
Npr = n!
Numerical
Q1. 4 different letter A,B,W,P & four different boxes
In how many ways 4 letters can be arranged in the four boxes ?
Sol :- 4!
A has 4 possibilities
B has 3 possibilities
W has 2 possibilities
P has 1 possibilities
Q2. 10 different letter A,B,C,D,E,P,Q,R,S,T & four different boxes
In how many ways ARRANGEMENT of 10 different letters taken 4 letters at a time into 4 boxes ?
Sol :- npr will be used
10! / (10-4)!
= 10*9*8*7
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