Respuesta :
The total number of ways/ permutation that A occupies first position is 24 , A occupies the first position, and B the second is 6 and a appears before b is 10 ways.
What is permutation ?
Permutation is a meeting of objects in an exceedingly definite order. The members or components of sets square measure organized here in an exceedingly sequence or linear order.
Main body:
A) a occupies the first position-
As A is first, and arrange the remaining letters. letters (B,C,D,E,F) can be arranged as-
4*3*2*1 = 24 ways
B) a occupies the first position, and b the second
As A is first and b is just after it , there are 5 position out of which 2 are taken by A, B in order , so number of ways they can be arranged is
3*2*1 = 6 ways
C) a appears before b
in this part there is no condition that a appears just before b , so b can be places anywhere after A.
after fixing A at first place , B can be placed at 4 places.
after fixing A at 2nd place , B can be placed at 3 places.
after fixing A at 3rd place , B can be placed at 2 places.
after fixing A at 4th place , B can be placed at 1 places.
total ways = 4+3+2+1 = 10
Hence the answer to these parts are 24, 6,10
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