Question

Three of six are to be selected and given small prizes. One will be given a book one will be given a Calculator one will be an iTunes card. And how many different ways can these prizes be awarded?

Answer 1

There are 20 different ways the prizes can be awarded.

Step-by-step explanation:

In this question, we need to determine the different ways the prizes (a book, a calculator, and an iTunes card) can be awarded to three students out of a group of six.

To solve this, we can use the concept of combinations.

In this case, we want to choose 3 out of 6, which can be represented as 6C3 or C(6,3) or (6 choose 3).

The formula for combinations is nCr = n! / ((n - r)! * r!), where n represents the total number of items to choose from and r represents the number of items to be chosen.

Plugging in the values, we get:

6C3 = 6! / ((6 - 3)! * 3!) = 6! / (3! * 3!) = (6 * 5 * 4) / (3 * 2 * 1) = 20

Therefore, there are 20 different ways the prizes can be awarded.