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16 Sep 2014, 01:08
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How many distinct three-digit positive multiples of 5 can be formed from the digits 2, 3, 4, and 5 without repeating any digit?
A. 3
B. 6
C. 10
D. 12
E. 18
A. 3
B. 6
C. 10
D. 12
E. 18
16 Sep 2014, 01:09
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Official Solution:
How many distinct three-digit positive multiples of 5 can be formed from the digits 2, 3, 4, and 5 without repeating any digit?
A. 3
B. 6
C. 10
D. 12
E. 18
The units digit must be 5 for the number to be a multiple of 5: _ _ 5. This leaves us with three choices for the hundreds digit: 2, 3, or 4. Subsequently, we're left with two choices for the tens digit. Therefore, we can form 3*2 = 6 such numbers.
Answer: B
How many distinct three-digit positive multiples of 5 can be formed from the digits 2, 3, 4, and 5 without repeating any digit?
A. 3
B. 6
C. 10
D. 12
E. 18
The units digit must be 5 for the number to be a multiple of 5: _ _ 5. This leaves us with three choices for the hundreds digit: 2, 3, or 4. Subsequently, we're left with two choices for the tens digit. Therefore, we can form 3*2 = 6 such numbers.
Answer: B
