What is the value of Γ(5)Γ(5)a.5b.4c.24d.120
Question
What is the value of Γ(5)Γ(5)a.5b.4c.24d.120
Solution
To find the value of Γ(5)Γ(5), we need to calculate the gamma function for the number 5.
Step 1: Calculate Γ(5) The gamma function for a positive integer n is given by (n-1)!. So, Γ(5) = (5-1)! = 4!
Step 2: Calculate 4! To calculate 4!, we multiply all the positive integers from 1 to 4. 4! = 4 x 3 x 2 x 1 = 24
Step 3: Calculate Γ(5)Γ(5) Now, we need to multiply the value of Γ(5) with itself. Γ(5)Γ(5) = 24 x 24 = 576
Therefore, the value of Γ(5)Γ(5) is 576.
Now, let's look at the options provided: a. 5 x 576 = 2880 b. 4 x 576 = 2304 c. 24 x 576 = 13824 d. 120 x 576 = 69120
None of the options match the value of Γ(5)Γ(5), which is 576.
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