permutation and combination help please????ANYONE??

Question

anonymous · Answer

A pool of possible jurors consists of 14 men and 10 women. How many different juries consisting of 5 men and 7 women are possible?@Nurali

uri · Answer

Answer choices?

anonymous · Answer

a.
2,704,156
c.
840.000331
b.
0.00033069
d.
240,240

anonymous · Answer

License plates are made using 2 letters followed by 3 digits. How many plates can be made if repetition of letters and digits is allowed?
a.
100,000
c.
67,600
b.
676,000
d.
11,881,376

uri · Answer

One question at a time,hun

anonymous · Answer

okay, I am sorry

nurali · Answer

Formula:
nCr=n!/r!(n-r)!

14C5 * 10C7 
2002*120
240240

anonymous · Answer

A pool of possible jurors consists of 14 men and 10 women. How many different juries consisting of 5 men and 7 women are possible?

well consider there are $_{14}C_5$ ways to pick the men and $_{10}C_7$ ways to pick the women hence $\dfrac{14!10!}{9!5!7!3!}$. Note we use combinations since there is no point in ordering.