2nc3:nc3=12:1 find n
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Place value is the value of each digit in a number. For example, the 5 in 350 represents 5 tens, or 50; however, the 5 in 5,006 represents 5 thousands, or 5,000. It is important that children understand that whilst a digit can be the same, its value depends on where it is in the number.
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Step-by-step explanation:
We have,
2nC3:nC3=12:1
⇒nC32nC3=112
⇒(2n−3)!3!2n!.n!(n−3)!3!=12
⇒(2n−3)!n!2!(n−3)!=12
⇒62n(2n−1)(2n−2)×n(n−1)(n−2)6=1
⇒(n−2)4(2n−1)=12
⇒2n−4=12n−24
⇒4n=20∴n=5
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