The total number of 7 digit positive integral numbers with district digits that can be formed using the digits 4, 3, 7, 2, 1, 0, 5 is

Question

The total number of 7 digit positive integral numbers with district digits that can be formed using the digits 4, 3, 7, 2, 1, 0, 5 is (A) 4320 (B) 4340 (C) 4310 (D) 4230

Tardigrade Admin · Accepted Answer

Given, digits are 4, 3, 7,2,1,0,5. <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/mathematics/cccc7aeddd823ef280b5fba14e21069c-.png" /> Total ways =6 × 6 × 5 × 4 × 3 × 2 × 1 =6 × 6 !=6 × 720=4320

Q. The total number of $7$ digit positive integral numbers with district digits that can be formed using the digits $4, 3, 7, 2, 1, 0, 5$ is

4320

4340

4310

4230

4220

Given, digits are 4, 3, $7, 2, 1, 0, 5$ .

Total ways $= 6 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1$
$= 6 \times 6! = 6 \times 720 = 4320$

Q. The total number of 7 digit positive integral numbers with district digits that can be formed using the digits 4,3,7,2,1,0,5 is