SOLUTION: Please help me solve this question, it is on my Entrance Exam : If a distinct code(words) of eight letters are formed by rearranging the letters in the word 'ABBEBAYE', how many o

Algebra ->  Probability-and-statistics -> SOLUTION: Please help me solve this question, it is on my Entrance Exam : If a distinct code(words) of eight letters are formed by rearranging the letters in the word 'ABBEBAYE', how many o      Log On


   



Question 955903: Please help me solve this question, it is on my Entrance Exam :
If a distinct code(words) of eight letters are formed by rearranging the letters in the word 'ABBEBAYE', how many of the codes begin with B or Y?
Choices:
A. 840
B. 1680
C. 420
D. 630
I have tried it as follow:
8%21%2F%283%21%2A2%21%2A2%21%29 = 1680. But I am not sure.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
you did it correct!
in the word 'ABBEBAYE' we have three letters B and one Y, so choosing 4 out of 8

8P4=8%21%2F%288-4%29%21............8%21=40320
8P4=8%21%2F4%21
8P4=40320%2F24
8P4=1680