There are three different lots of Mathematics, Physics and Chemistry books arranged in three different lots as shown in the following diagram In how many distinct ways we can pile up these 12 books such that at time of pilling up all these books in a single lot we always pickup the book from the top of respective lots

Question

There are three different lots of Mathematics, Physics and Chemistry books arranged in three different lots as shown in the following diagram <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/mathematics/48dbb80324b1e5d2beba591dd14b66e3-.png" /> In how many distinct ways we can pile up these 12 books such that at time of pilling up all these books in a single lot we always pickup the book from the top of respective lots (A) (12 !/3 ! × 5 !) (B) (12 !/4 ! × 5 !) (C) (12 !/3 ! × 4 ! × 5 !) (D) (12 !/3 ! × 4 !)

Tardigrade Admin · Accepted Answer

Correct answer is (c) (12 !/3 ! × 4 ! × 5 !)

$\frac{12 !}{3 ! \times 5 !}$

$\frac{12 !}{4 ! \times 5 !}$

$\frac{12 !}{3 ! \times 4 ! \times 5 !}$

$\frac{12 !}{3 ! \times 4 !}$

Correct answer is (c) $\frac{12 !}{3 ! \times 4 ! \times 5 !}$

3!×5!12!​

4!×5!12!​

3!×4!×5!12!​

3!×4!12!​

Correct answer is (c) 3!×4!×5!12!​

$\frac{12 !}{3 ! \times 5 !}$

$\frac{12 !}{4 ! \times 5 !}$

$\frac{12 !}{3 ! \times 4 ! \times 5 !}$

$\frac{12 !}{3 ! \times 4 !}$

Correct answer is (c) $\frac{12 !}{3 ! \times 4 ! \times 5 !}$