Home / Assignment Help / During low tide, the beachfront in some places is about 350 from the ocean to the homes . High tide can change the width of a beach at a rate of -17 feet each hour . It takes 6 hours for the ocean to move from low to high tide . What is the change in the width of the beachfront from low to high tide ?

During low tide, the beachfront in some places is about 350 from the ocean to the homes . High tide can change the width of a beach at a rate of -17 feet each hour . It takes 6 hours for the ocean to move from low to high tide . What is the change in the width of the beachfront from low to high tide ?

You need to determine the number of ways in which 30 competitors from 50 can qualify. First, you have to realize that the order is irrelevant, that is: it is the same competitor_1, competitor _2, competitor _3 than competitor_3, competitor_2, competitor_1, or any combination of those three competitors.

So, the number of ways is which 30 competitors from 50 can qualify is given by the formula of combinations, which is:

C (m,n) = m! / (n! * (m -n)! )

=> C (50,30) = 50! / (30! (50 – 30)! ) = (50!) / [30! (50 – 30)!] = 50! / [30! 20!] =

 = 47,129,212,243,960 different ways the qualifiying round of 30 competitors can be selected from the 50 competitors.

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