frac{7 !}{2 !} times frac{4 !}{3 !}

Question

Accepted Answer

Step:1 ：First, we need to calculate the factorial of 7, 2, 4, and 3.Step:2 ：The factorial of 7 is 5040, the factorial of 2 is 2, the factorial of 4 is 24, and the factorial of 3 is 6.Step:3 ：Next, we divide the factorial of 7 by the factorial of 2, which gives us (frac{5040}{2} = 2520).Step:4 ：Then, we divide the factorial of 4 by the factorial of 3, which gives us (frac{24}{6} = 4).Step:5 ：Finally, we multiply the two results together, which gives us (2520 times 4 = 10080).Step:6 ：So, the value of the expression (frac{7 !}{2 !} times frac{4 !}{3 !}) is (boxed{10080}).

Answer

Step: 1 ：First, we need to calculate the factorial of 7, 2, 4, and 3.Step: 2 ：The factorial of 7 is 5040, the factorial of 2 is 2, the factorial of 4 is 24, and the factorial of 3 is 6.Step: 3 ：Next, we divide the factorial of 7 by the factorial of 2, which gives us (frac{5040}{2} = 2520).Step: 4 ：Then, we divide the factorial of 4 by the factorial of 3, which gives us (frac{24}{6} = 4).Step: 5 ：Finally, we multiply the two results together, which gives us (2520 times 4 = 10080).Step: 6 ：So, the value of the expression (frac{7 !}{2 !} times frac{4 !}{3 !}) is (boxed{10080}).

$\frac{7 !}{2 !} \times \frac{4 !}{3 !}$

Answer

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