Question

From the digits 2,4,7,8 how many four digit odd numbers can be formed​

Answer 1

Answer:

2487, 2847,4287,4827,8427 and 8247.

Therefore, six four digit odd numbers can be formed.

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Answer 2

The numbers of four digit odd numbers can be formed​ from the digits 2,4,7,8 is 6.

Explanation:

Given:

The digits 2,4,7,8.

To Find:

The numbers of four digit odd numbers can be formed​ from the digits 2,4,7,8.

Solution:

As given,the digits 2,4,7,8.

The numbers of odd digit is 1.

It means last place can be filled in 1 way.

Remaining 3 place can be filled by remaining 3 numbers in $3_{P} _{3}$ ways.

Therefore,  the total numbers of four digit odd numbers $= 1\times 3_{P} _{3}$

                                                                                             $= 1\times \frac{3!}{(3-3)!}$

                                                                                              $= 1\times \frac{3!}{(0)!}$

                                                                                              $= 3!\\=6$

Thus,the numbers of four digit odd numbers can be formed​ from the digits 2,4,7,8 is 6.

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