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A blood bank needs 8 people to help with a blood drive. 11 people have volunteered.
Find how many different groups of 8 can be formed from the 11 volunteers.


Sagot :

Answer:

165

Step-by-step explanation:

formula is

nCr = n!/(r!(n−r)!)

r= 8 = number of choosing objects from the set

n = 11 = total number of objects in the set

C(n,r)=C(11,8)

=11!/(8!(11−8)!)

! means factorial

factorial means to multiply by decreasing positive numbers.

For example, 8! = 8 ∗ 7 ∗ 6 ∗ 5 ∗ 4 ∗ 3 ∗ 2 ∗ 1 = 40320

=11!/8!×3!

= 165

massedu

Answer: 1584

Step-by-step explanation:

The number of ways to choose r people out of n is given by Combination ( where order does not matter) and the formula to find them is

[tex]C(n,r)=\frac{n!}{r!(n-r)!}[/tex]

Now , it is given that

A blood bank needs 8 people to help with a blood drive. 11 people have volunteered.

Then, the number of different groups of 8 can be formed from the 11 volunteers =

[tex]C(11,9)=\frac{11!}{8!(11-8)!}[/tex]

[tex]=\frac{11*10*9*8}{8!3!}[/tex]

[tex]=\frac{7920}{5}[/tex]

[tex]=1584[/tex]

Hence, the number of different groups of 8 can be formed from the 11 volunteers = 1584

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