Please help!!! Fan and Medal!
How can you use the pattern in the table of combinations to find a number in Pascal’s triangle?

Question

Please help!!! Fan and Medal!
How can you use the pattern in the table of combinations to find a number in Pascal’s triangle?

misty1212 · Answer

HI!!

misty1212 · Answer

is the table pascal's triangle, or is it something else?

anonymous · Answer

yes its pascals triangle! @misty1212

misty1212 · Answer

ok lets take a look at one

misty1212 · Answer

attachment

misty1212 · Answer

suppose you want to know for example $_5C_2$  or "five choose two" the number of ways to choose 2 things out of a set of five (you have seen that notation right?)

anonymous · Answer

Yes ive seen that notation before

misty1212 · Answer

ok so here is how it relates to pascal's triangle
go down to level 5 on the triangle, the one what begins $1,5$

misty1212 · Answer

might be confusing because the top level is level 0  
in any case go to 1, 5 10, 5 , 1 
the 1 is the number of ways to choose no items i.e. $_5C_0$
the next 5 is $_5C1$ 
the 10 is $_5C_2$ 
the next 10 is $_5C_3$ and so on

misty1212 · Answer

hope that is more or less clear
it is true for every entry in every level

anonymous · Answer

okay i think i may understand that @misty1212