In a certain lottery, you must select 5 numbers (in any order) out of 26 correctly to win. a. How many ways can 5 numbers be chosen out of 26 numbers? b. You purchase one lottery ticket. What is the probability of winning? a. There are nothing different ways the numbers can be selected.

a. 7893600

Step-by-step explanation:

Given that there are 26 numbers out of which 5 numbers are to be chosen.

Here repetition is not allowed.

For each of the 5 cases, the total number of possibilities will keep on decreasing by 1.

1st case, number of possibilities = 26

2nd case, number of possibilities = 25

3rd case, number of possibilities = 24

4th case, number of possibilities = 23

5th case, number of possibilities = 22

a. Total number of possibilities = 26 25 24 23 22 = 7893600

b. Probability of winning by choosing one number:

Formula for probability of an event E can be observed as:

Number of favorable cases = 1

Total number of cases = 26

So, required probability:

So, the answers are:

a. 7893600

yes

yes yes yes

square pyramid

step-by-step explanation:

square prism looks like nothing like that

triangular prism has a rectangular base instead of a square base

tetrahedron has a triangular base