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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