Explain why the rows of pascal’s triangle are symmetric. that is, explain why c(n, k) = c(n, (n − k))

The rows of Pascal’s triangle are symmetric.

Step-by-step explanation:

Each row of Pascal's triangle is symmetric.

Clearly

nCr=nCn-r

since choosing r objects from n objects leaves n−r objects, and choosing n−r objects leaves r objects. This means that the coefficient of in the expansion of is the same as the coefficient of .

3-4

step-by-step explanation:

the answer is 3-4 because both 45 and 60 has a multiple of 15.

45/3=15

60/4=15

therefore the odds against selecting a red is 4-3

"a" determine whether sage found the correct quotient. show your work

step-by-step explanation: