# The camera club has five members, and the mathematics club has eight. There is only one member common to both clubs. In how many ways could a committee of four people be formed with at least one member from each club?

1173

We have the camera club, which I'll dub P for photography, has 5 members. We also have the Mathematics club with 8 members. And in common with both of those, we have C - who is the one person common to both.

All this means that we have 4 unique members of P, 7 of M and 1 of C.

From this, we're going to pick 4 people and want at least 1 person from each group (P and M). There are two ways this can happen - either C gets picked (and so automatically we have representation from both groups), or C isn't picked and so we need 1 person each from P and M.

C is picked

If we have C be picked, there are now 11 members of P and M we can pick 3 people from:

If C is not picked

Putting it together

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- If two dice are rolled once and one die rolled a second time if the first two rolls have same number, what is the probability of getting a sum of 14?
- Friday night Joe decided to order a 1-topping pizza. He had a choice of thin or thick crust and a choice of five toppings. How many different pizzas could he choose from?
- There's a deck of 52 cards. A five-card hand has three of a kind consists of 3 cards of the same rank, one card of another, and one card of another. How many different 3-of-a-kind hands are there?
- What is the probability of tossing a penny and landing on heads three times in a row?
- What is a simple event in probability? What is a complementary event?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7