What is the product of all positive odd integers less than 10000?
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heDefinition • Oct 7, 2013, 2:42 PM
The product of all integers less than or equal to 104 is just (104)!. But you have to remove the even numbers somehow, i.e. divide them away. How?
qwerty081 • Oct 7, 2013, 2:41 PM
D. 5000!*25000 =(5000 * 2) * (4999 * 2) ... * (1 * 2) which gives you all the even numbers between 1 and 10000. When you divide it be 10000!, the even numbers cancel out and you're left with the product of odd numbers only?
The product of all integers less than or equal to 104 is just (104)!. But you have to remove the even numbers somehow, i.e. divide them away. How?
qwerty081 • Oct 7, 2013, 2:41 PM
D. 5000!*25000 =(5000 * 2) * (4999 * 2) ... * (1 * 2) which gives you all the even numbers between 1 and 10000. When you divide it be 10000!, the even numbers cancel out and you're left with the product of odd numbers only?
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