Question

RSM wants to send 4 of its 18 teachers into a conference. How many ways can they do this?

Answer 1

RSM can send 4 of its 18 teachers into a conference in 3060 ways.

Combinations are the various ways in which objects from a given set may be selected. Normally it is done without replacement, to form the subsets. Combinations are a way to find out the total outcomes of an event where the order of the outcomes does not matter.

Thus the Combination is the different selections of a given number of objects taken some or all at a time. For example, if we have two alphabets A and B, then there is only one way to select two items, we select both of them. For Combinations, k elements are selected from a set of n objects to produce subsets without bothering about ordering. Here Combinations BA and AB will be no longer distinct selections. Thus by eliminating such cases we get only 10 different possible groups, which are AB, AC, AD, AE, BC, BD, BE, CD, CE, and DE.

Thus RSM can send 4 of its 18 teachers into a conference = 18C$_{4}$

18C$_{4}$ = 3060 ways

Thus RSM can send 4 of its 18 teachers into a conference in 3060 ways

Learn more about Combinations here :

brainly.com/question/13776214

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