Question

The number of ways that 5 Marathi, 3 English and 3 Tamil books be arranged if the books of each language are to be kept together is

• A. 25920
• B. 9250
• C. 5920
• D. 7480

Answer 1

The Correct Option is A

Step 1: Treat each language as one block.
Marathi, English and Tamil books each form a single group, so we are arranging 3 blocks and \( 3! = 6 \) ways to order them.

Step 2: Shuffle books inside each block.
Inside the blocks, the books can be shuffled in \( 5! \times 3! \times 3! = 120 \times 6 \times 6 = 4320 \) ways.

Step 3: Combine both counts.
Total arrangements \( = 6 \times 4320 = 25920 \). \[ \boxed{25920} \]