The factorial (n!) of a number n is the product of all positive integers from n down to 1, while the double factorial (n!!) is the product of all positive integers from n down to 1 that have the same parity as n (all odd numbers if n is odd, all even numbers if n is even). For example, 5! = 5 × 4 × 3 × 2 × 1 = 120, and 5!! = 5 × 3 × 1 = 15, so 5! / 5!! = 120 / 15 = 8.
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What is 5! / 5!! ? (The Double Factorial Trap) 🔍 #mathsAdded:
Hello friends, you know most of the students are confused into solving this type of questions. So, let us solve it.
The question is 5! / 5!! So, here 5!
given means you have to subtract 1 from 5 in descending order. That is 5 - 1 4 4 - 1 3 3 - 1 2 2 - 1 1 divided by in the denominator of 5!! given means you have to subtract 2 2 from 5. That is 5 - 2 3 3 - 2 1. Now, you just reduce it. 5 * 1 = 3 * 1 = 1 * 1 = What is left here? 4 and 2. So, 4 * 2 = 8 students. That is the correct answer. And one question for you to solve and give the in the comment box the answer. Right? 7! / 7!! So, you'll solve it and send me the answer in the comment box. Thank you. Have a nice day.
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