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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

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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.

This problem has been solved

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