Perms and Combs help (again 😭) (2 Viewers)

potatoe456

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pls help with the following qs (idk where to even start)


1. How many selections of at least one object can be made from n distinct objects?


2. Recall that a digit sum of a number n is the value obtained when the digits of n
are added together. For example, the digit sum of 152 is1+5+2=8.

(a) How many four-digit numbers must be selected to guarantee that at least two of them have
the same digit sum?

(b) 110 randomly -chosen three-digit numbers are selected. Show that at least five of them have
the same digit sum.
 

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