Question

How many five-digit numbers can be made from the digits 1 to 7 if repetition is allowed?
54629
23467
16807
32354

Answer 1

Answer:

Answer: a

Explanation: 75 = 16807 ways of making the numbers consisting of five digits if repetition is allowed

Step-by-step explanation:

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Answer 2

Answer:

16807  five-digit numbers can be made from the digits 1 to 7 if repetition is allowed.

Step-by-step explanation:

Step 1: 7^5 = 16807 ways of making the numbers consisting of five digits if repetition is allowed.

Step 2: If repetition is allowed, then each of the five digits in the five-digit number can be chosen from the set {1, 2, 3, 4, 5, 6, 7}. Therefore, there are 7 choices for the first digit, 7 choices for the second digit, and so on. In total, there are 77777 = 7^5 = 16807 five-digit numbers that can be made from the digits 1 to 7 if repetition is allowed.

Step 3:The number of digits available for X = 5, As repetition is allowed, So the number of digits available for Y and Z will also be 5 (each). Thus, The total number of 3-digit numbers that can be formed = 5×5×5 = 125.

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