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elixir [45]
3 years ago
5

at a game show , there are 7 people (including you and your friend) in the front row. the hoat randomly chooses 3 people from th

e front row to be contestants. the order in witch they are chosen does not matter. how many ways can you and your frined be choosen
Mathematics
2 answers:
Degger [83]3 years ago
8 0

2x3:7 = 0,857

You and your friend have 0,857 chance to be choosen.

kondor19780726 [428]3 years ago
4 0

Answer:

5 ways

Step-by-step explanation:

There are 7 people (including you and your friend) in the front row.

The hoat randomly chooses 3 people from the front row to be contestants.

We are supposed to find how many ways can you and your friend be chosen.

Since you and your friend is fixed

So, total ways = ^2C_2

Now one more is remaining for being selected .

Since two are selected out of 7 . So, 5 are remaining .

So, the last person will be selected from remaining 5  i.e. ^5C_1

So, no. of ways  you and your friend can be chosen:

^2C_2 \times^5C_1

Formula : ^nC_r=\frac{n!}{r!(n-r)!}

\frac{2!}{2!(2-2)!} \times\frac{5!}{1!(5-1)!}

1 \times5

5

Thus there are 5 ways in which you and your friend can be chosen

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