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If the first digit cannot be a 0 or a 5, how many five-digit odd numbe
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01 Dec 2022, 06:37
01 Dec 2022, 06:37
1
Expert Reply
00:00
Question Stats:
72% (01:21) correct
27% (01:18) wrong based on 18 sessions
Hide Show timer Statistics
If the first digit cannot be a 0 or a 5, how many five-digit odd numbers are there?
A. 42,500
B. 37,500
C. 45,000
D. 40,000
E. 50,000
A. 42,500
B. 37,500
C. 45,000
D. 40,000
E. 50,000
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Re: If the first digit cannot be a 0 or a 5, how many five-digit odd numbe
[#permalink]
02 Dec 2022, 09:23
02 Dec 2022, 09:23
1
Expert Reply
This problem can be solved with the Multiplication Principle. The Multiplication
Principle tells us that the number of ways independent events can occur together can
be determined by multiplying together the number of possible outcomes for each
event.
There are 8 possibilities for the first digit (1, 2, 3, 4, 6, 7, 8, 9).
There are 10 possibilities for the second digit (0, 1, 2, 3, 4, 5, 6, 7, 8, 9)
There are 10 possibilities for the third digit (0, 1, 2, 3, 4, 5, 6, 7, 8, 9)
There are 10 possibilities for the fourth digit (0, 1, 2, 3, 4, 5, 6, 7, 8, 9)
There are 5 possibilities for the fifth digit (1, 3, 5, 7, 9)
Using the Multiplication Principle:
= 8 * 10 * 10 * 10 * 5
= 40,000
Principle tells us that the number of ways independent events can occur together can
be determined by multiplying together the number of possible outcomes for each
event.
There are 8 possibilities for the first digit (1, 2, 3, 4, 6, 7, 8, 9).
There are 10 possibilities for the second digit (0, 1, 2, 3, 4, 5, 6, 7, 8, 9)
There are 10 possibilities for the third digit (0, 1, 2, 3, 4, 5, 6, 7, 8, 9)
There are 10 possibilities for the fourth digit (0, 1, 2, 3, 4, 5, 6, 7, 8, 9)
There are 5 possibilities for the fifth digit (1, 3, 5, 7, 9)
Using the Multiplication Principle:
= 8 * 10 * 10 * 10 * 5
= 40,000
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Re: If the first digit cannot be a 0 or a 5, how many five-digit odd numbe
[#permalink]
09 Mar 2023, 17:56
09 Mar 2023, 17:56
Expert Reply
Carcass wrote:
If the first digit cannot be a 0 or a 5, how many five-digit odd numbers are there?
A. 42,500
B. 37,500
C. 45,000
D. 40,000
E. 50,000
A. 42,500
B. 37,500
C. 45,000
D. 40,000
E. 50,000
Using the given criteria the number of numbers that can be formed is:
8 x 10 x 10 x 10 x 5 = 40 x 1000 = 40,000 numbers.
Answer: D
