Combinations From One Set. Combination Formula is the number of combinations of “n” different objects that can be formed by taking “r” of them at a time.

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Presentation transcript:

Combinations From One Set

Combination Formula is the number of combinations of “n” different objects that can be formed by taking “r” of them at a time (r ≤ n)

Combinations From One Set Example 1: How many different sets of 3 golf clubs could be selected from a bag containing 11 different clubs to be used in a tournament such as was described in the introduction to this section? Solution: A set of 3 golf clubs is needed and there are 11 from which to choose. The order in which the clubs are selected is not important because any 3 clubs will form only one set no matter what order they are selected.

Combinations From One Set Example 2: In Lotto 649 participants are to choose any 6 integers from the set of integers {1, 2, 3, …, 49}. How many tickets would one have to buy in order to guarantee a win? Solution: To purchase a ticket one needs to select a set of 6 digits from 49 digits. Thus there are:

Homework Do #1 – 11 odd numbers only on pages 208 and 209 from Section 6.5 for Wednesday June 3 rd