How many ways are there to choose a patotoe and two green vegetables form a choice of three potatoes and seven green vegetables

What is your attempt?

what is your attempt?

3*7*3

Why did you pick those numbers and multiply them this way?

Note that what you did is not fully right.

Why did you pick those numbers and multiply them this way?

Note that what you did is not fully right.# of slots and items

That's not how you do it...

If I asked you to find the number of ways of picking 3 distinct tomatoes from a group of 10 tomatoes, how many ways are there to pick those 3 tomatoes?

That's not how you do it...

If I asked you to find the number of ways of picking 3 distinct tomatoes from a group of 10 tomatoes, how many ways are there to pick those 3 tomatoes?
Idk

I asked you to pick 3 tomatoes.

You therefore have 3 slots.

_ _ _

In the first slot, you can have one of the 10 tomatoes, effectively giving you 10 ways of picking the first tomato.

10 _ _

In the second slot, you now have only 9 tomatoes to pick from. Therefore, you have 9 ways of picking the second tomato.

10 9 _

With the same logic, you are left with 8 ways.

10 9 8

Total number of ways = 10*9*8 = 720 ways.

Can you try your question now?

I asked you to pick 3 tomatoes.

You therefore have 3 slots.

_ _ _

In the first slot, you can have one of the 10 tomatoes, effectively giving you 10 ways of picking the first tomato.

10 _ _

In the second slot, you now have only 9 tomatoes to pick from. Therefore, you have 9 ways of picking the second tomato.

10 9 _

With the same logic, you are left with 8 ways.

10 9 8

Total number of ways = 10*9*8 = 720 ways.

Can you try your question now?

Got it ty its 126

Yup, that's it :)