Question

.5×4×3×2×1 can be written in factorial notation as​

Answer 1

Answer:

For all such arrangements, we will see a similar pattern of multiplication. For example, for any number ‘n’, we can make n×(n-1)×(n-2)×(n-3)×(n-4)×(n-5)×…×3×2×1. This is where we use the factorial notation. We define the factorial of a positive integer as the product of the integer with all the numbers lesser than it all the way up to 1.

We define the factorial of a number as the product of consecutive descending natural numbers and represent it by !. For example, the factorial of 4 or 4! = 4×3×2×1. Similarly the factorial of 7 or 7! = 7×6×5×4×3×2×1. Similarly, we can find the factorials of all the positive integers. In the factorial notation, we define the factorial of 0 to be = 1. So 0! = 1. By convention, 0! = 1. Also 1! = 1. Then 2! = 2 ! 1 = 2 and 3! = 3 ! 2 ! 1 = 6. Likewise, 4! = 4 ! 3 ! 2 ! 1 = 24 and 5! = 5 ! 4 ! 3 ! 2 ! 1 = 120.