How many 4-digit no's that are divisible by 10 can be formed from the no.'s 3, 5, 7, 8, 9, 0 such that no no. repeats?
Choose the most appropriate option.
A) 20
B) 30
C) 60
D) 70
E) 90
If a number is divisible by 10, its units place should contain a 0.   _ _ _ 0   After 0 is placed in the units place, the tens place can be filled with any of the other 5 digits.   Selecting one digit out of 5 digits can be done in 5C1 = 5 ways.   After filling the tens place, we are left with 4 digits. Selecting 1 digit out of 4 digits can be done in 4C1 = 4 ways.   After filling the hundreds place, the thousands place can be filled in 3C1 = 3 ways.   Therefore, the total combinations possible = 5*4*3= 
<gadget id="calculator">5*4*3</gadget>
<output>60</output>
60.   60
<result>C</result>
How many 4-digit no's that are divisible by 10 can be formed from the no.'s 3, 5, 7, 8, 9, 0 such that no no. repeats?