Problem based on drawing a pack of cards


Q1. A multiple-choice test consists of 12 questions with 4 possible answers to each question. In how many ways can the test be completed?

Q2. Find the number of ways to draw:

a. A 5-card hand consisting of spades only
b. A 4-card hand with 2 aces and two queens

Q3. There are 10 puppies in a cage, of which 6 are male and 4 are female. If you select 3 puppies at random, what is the probability that they will all be the same gender?

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