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After completing his MBA, Zafar shifted to a new flat where he bought a new bookself and a set of 7 novels. The names of these novels, In the chronoligical order, are A,B,C,D,E, F and G
Find the number of ways in which we can arrange all the 7 novels in his bookshelf.

A

5040

B

4050

C

1

D

7

Text Solution

AI Generated Solution

The correct Answer is:
To find the number of ways to arrange the 7 novels A, B, C, D, E, F, and G on Zafar's bookshelf, we can use the concept of permutations. ### Step-by-Step Solution: 1. **Identify the total number of novels**: We have a total of 7 novels: A, B, C, D, E, F, and G. 2. **Understand the arrangement**: We need to arrange all 7 novels in a specific order on the bookshelf. 3. **Use the factorial concept**: The number of ways to arrange 'n' distinct items is given by 'n factorial' (n!). For our case, since we have 7 novels, we will calculate 7!. 4. **Calculate 7!**: \[ 7! = 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1 \] 5. **Perform the multiplication**: - First, calculate \(7 \times 6 = 42\) - Next, \(42 \times 5 = 210\) - Then, \(210 \times 4 = 840\) - After that, \(840 \times 3 = 2520\) - Next, \(2520 \times 2 = 5040\) - Finally, \(5040 \times 1 = 5040\) 6. **Conclusion**: The total number of ways to arrange the 7 novels is 5040. ### Final Answer: The number of ways in which Zafar can arrange all 7 novels on his bookshelf is **5040**. ---
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