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How many possible two-digit numbers can be formed by using the digits 3, 5 and 7 (repetition of digits is allowed)?
- a)10
- b)9
- c)7
- d)8
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
How many possible two-digit numbers can be formed by using the digits ...
⇒ Number of possible two-digit numbers which can be formed by using the digits 3, 5 and 7 = 3 × 3.
∴ 9 possible two-digit numbers can be formed.
The 9 possible two-digit numbers are:
33, 35, 37, 53, 55, 57, 73, 75, 77
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Community Answer
How many possible two-digit numbers can be formed by using the digits ...
To find the number of possible two-digit numbers that can be formed using the digits 3, 5, and 7 with repetition allowed, we can consider the following steps:
1. Identify the possible digits: The given digits are 3, 5, and 7.
2. Determine the number of choices for each digit: Since repetition is allowed, each digit has three choices.
3. Determine the number of choices for each position: In a two-digit number, there are two positions - the tens place and the units place. Each position can have three choices (3, 5, or 7) since repetition is allowed.
4. Multiply the number of choices for each position: Since the choices for each position are independent, we can multiply the number of choices for each position. In this case, 3 choices for the tens place and 3 choices for the units place gives us a total of 3 x 3 = 9 possible two-digit numbers.
Therefore, the correct answer is option B) 9.
Let's summarize the steps:
Step 1: Identify the possible digits: 3, 5, and 7.
Step 2: Determine the number of choices for each digit: Each digit has 3 choices.
Step 3: Determine the number of choices for each position: In a two-digit number, each position has 3 choices.
Step 4: Multiply the number of choices for each position: Multiply the choices for each position (3 x 3 = 9).
Step 5: The total number of possible two-digit numbers is 9.
So, the correct answer is option B) 9.
1. Identify the possible digits: The given digits are 3, 5, and 7.
2. Determine the number of choices for each digit: Since repetition is allowed, each digit has three choices.
3. Determine the number of choices for each position: In a two-digit number, there are two positions - the tens place and the units place. Each position can have three choices (3, 5, or 7) since repetition is allowed.
4. Multiply the number of choices for each position: Since the choices for each position are independent, we can multiply the number of choices for each position. In this case, 3 choices for the tens place and 3 choices for the units place gives us a total of 3 x 3 = 9 possible two-digit numbers.
Therefore, the correct answer is option B) 9.
Let's summarize the steps:
Step 1: Identify the possible digits: 3, 5, and 7.
Step 2: Determine the number of choices for each digit: Each digit has 3 choices.
Step 3: Determine the number of choices for each position: In a two-digit number, each position has 3 choices.
Step 4: Multiply the number of choices for each position: Multiply the choices for each position (3 x 3 = 9).
Step 5: The total number of possible two-digit numbers is 9.
So, the correct answer is option B) 9.
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