Question

The exponent of 7 in 100C50 is??

Answer 1

??

Answer 2

Doesn't makes any sense, please do the necessary edit.

Answer 3

its 1.0089*10^36

Answer 4

\[\left(\begin{matrix}100 \\ 50\end{matrix}\right)\]

Answer 5

hw to get tjhis?

Answer 6

100891344545564193334812497256

Answer 7

hw do u get that

Answer 8

i mean can u say the logic

Answer 9

u see my options ar
a)0
b)2
c)4
d) none of these
i need to substantiate my answer

Answer 10

LOL ... what the hell was question?

Answer 11

what is exponent of 7 in \[\left(\begin{matrix}100 \\ 50\end{matrix}\right)\]

Answer 12

@FoolForMath

Answer 13

you can calculate 100c50 which is 1.0089*10^29 and give the power 7 answer is 1.0089*10^36

Answer 14

i cant use calculator

Answer 15

exponent of 7 ?? any example of such kind ... though i am smart ... i am really thick headed.

Answer 16

There is something wrong with the question.

Answer 17

bt it came in my test :(

Answer 18

Maybe its asking, "what is the highest power of 7 that divides 100C50"? basically, if you had to prime factor 100C50, what would be the power of 7

Answer 19

lemme see take 100 move the c divide the possibility of 50 and that leaves me with......I GOT NOT CLUE

Answer 20

hmm..any logic explanation anyone?

Answer 21

english must be arch enemy of mathematics

Answer 22

im illogical jim..

Answer 23

i cant use calculator thats the main prob

Answer 24

so i need logical reason

Answer 25

if the question is what is the power of 7 when you prime factor 100C50, its 0. 7 doesnt divide it.

Answer 26

thx evryone i will post nxt qn hel p me there tooo

Answer 27

there's answer in google

Answer 28

really?
giv me the link

Answer 29

We have
\[\frac{100!}{50!{50!}}\]
so it's
\[\large \frac{(100*99.....51)}{50!}\]
let's only write multiples of 7
\[\large \frac{(98.91.84.77.70.63.56)}{7.14.21.28.35.42.49}\]
Now we'll write only in terms of powers of 7
\[\large \frac{7^2.7.7.7.7.7.7}{7.7.7.7.7.7.7^2}\]
so we end up with
\[\huge 7^0\]

Answer 30

Since:\[\left(\begin{matrix}100 \\ 50\end{matrix}\right)=\frac{100\cdot99\cdot98\cdots 51}{1\cdot 2\cdot 3\cdots 50}\]
To find the power of 7 in the numerator, you only need to count the multiples of 7. that gives:\[56, 63, 70, 77, 84, 91, 98\]which would give 7^8 since 98 has 7^2 in it. In the same fashion, the denominator has 7^8 in it. So 7 will cancel out completely.

Answer 31

so is the answer 0 or none of these?

Answer 32

we end up with \[\huge 7^0\ \to0\]

Answer 33

wow thx

Answer 34

i liked rhis qn

Answer 35

@ash2326 anything^0 is 1

Answer 36

I meant that the exponent of 7 is 0 :D

Answer 37

he knows that, hes saying that there are 0 7's in 100C50

Answer 38

hehe

Answer 39

k nexxt qn get ready

Answer 40

have fun, i need to be working on a take home exam.