SOLUTION: Panel has a combination lock. Patel has to set each part of the lock to a digit between 0 and 9 inclusive. One possible way to do this is 0, 8, 0, 7. (a) How many different ways

Algebra ->  Permutations -> SOLUTION: Panel has a combination lock. Patel has to set each part of the lock to a digit between 0 and 9 inclusive. One possible way to do this is 0, 8, 0, 7. (a) How many different ways      Log On


   



Question 1125008: Panel has a combination lock. Patel has to set each part of the lock to a digit between 0 and 9 inclusive. One possible way to do this is 0, 8, 0, 7.
(a) How many different ways can Pavel do this?


Pavel decides that the 1st and 3rd digits will be odd numbers and the 2nd and 4th digits will be even.
(b) How many different ways are possible now?

Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!

a) +highlight%28+10000+%29+ ways for "0000" through "9999" inclusive

b) In this part, each digit can only take on only 5 values (5 evens for positions 2 and 4; 5 odds for positions 1 and 3): 5^4 = +highlight%28+625+%29+