Question

Evaluate C(7, 7).

Answer 1

how many ways can you choose all seven items out of seven?

Answer 2

I'm afraid I don't understand..

Answer 3

C(7,7) is read "seven choose seven" it is the number of ways to choose all seven items out of 7
ther is only one way to do this (namely pick all seven)

C(4,1) means the number of ways to choose one item from a set of 4
there are 4 ways to do this

Answer 4

for more complicated examples there is a formula, but you should only use it if necessary, which it rarely is.
for example C(10,2) is the number of ways to choose 2 from a set of 10 it is computed by \(C(10,2)=\frac{10\times 9}{2}=5\times 9=45\)

Answer 5

7C7 ITS VALUE IS 1

Answer 6

\[7_{c7}=1\] as \[n _{c}n =1\]