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In: Statistics and Probability

4. Using the counting rule, find the followings:1) How many different ways you can select two...

4. Using the counting rule, find the followings:1) How many different ways you can select two toppings out of 9 toppings available?2) How many different ways you can select one president and one vice president out of 30 club members?

Expert Solution

Question 1

How many different ways you can select two toppings out of the 9 toppings available ?

Now, the rule of combination says that, from n objects which are all different, r can be selected in

number of ways.

So, from 9 toppings, 2 can be selected in number of ways

So, I can select 2 toppings out of the 9 available, in 36 ways.

Question 2

How many different ways you can select one president and one vice president, out of 30 club members ?

Now, from 30 persons, 2 persons can be selected in

ways.

Now, for each of this choices of two people, the two people can be handed the two posts, in

So, one president, and one vice president can be selected out of 30 club members, in 870 number of ways.

orchestra answered 2 years ago

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