1-A basketball player has a 90% chance of making a free throw. If the player shoots seven free throws, determine the probability of the following:

a.) they make all seven free throws.

b.) they make exactly six free throws.

2-There is a raffle which costs $3 per ticket. There are four prizes for $200, $150, $100, and $50. A total of 400 tickets were purchased. Find the expected value of the net gain if one ticket is purchased.

3-uppose there are 50 countries in an Olympic event. How many possible ways can they place first, second, third, fourth, and fifth?

4-In how many ways can you choose a committee of five students from 25 students?

5-How many distinguishable permutations are there for the word HUFFLEPUFF?

6-How many different ways can seven books be arranged on a shelf?

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