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Home / Assignment Help / What is the distance between the points (22, 27) and (2, -10)? If necessary, round your answer to two decimal places. A. 57 units B. 37 units C. 31.13 units D. 42.06 units

# What is the distance between the points (22, 27) and (2, -10)? If necessary, round your answer to two decimal places. A. 57 units B. 37 units C. 31.13 units D. 42.06 units

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.