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  • How many different six-digit numbers can be formed using the digits 1, 2, 3, 4, 5, and 6, where the first digit must be odd?  <

How many different six-digit numbers can be formed using the digits 1, 2, 3, 4, 5, and 6, where the first digit must be odd?

 

Option: 1

320


Option: 2

780


Option: 3

350


Option: 4

240


Answers (1)

best_answer

To find the number of different six-digit numbers that can be formed using the digits 1,2,3,4,5, and 6 , where the first digit must be odd, we need to consider the possibilities for the first digit and the remaining digits.

Since the first digit must be odd, there are 3 choices for the first digit: 1,3 , or 5 . After choosing the first digit, there are 5 remaining digits to choose from for the second digit. Similarly, there are 4 choices for the third digit, 3 choices for the fourth digit, 2 choices for the fifth digit, and 1 choice for the sixth digit.

Therefore, the total number of different six-digit numbers that can be formed, where the first digit is odd, is

3 \times 5 \times 4 \times 3 \times 2 \times 1=360.

It is important to note that repetition is not allowed in this case, as the digits 1,2,3,4,5, and 6 are distinct.

Posted by

Divya Prakash Singh

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