# Math Help - data questions

1. ## data questions

1. The final score of a soccer game is 6 to 3. How many different scores were possible at half-time?

2. Evaluate the following

a) $\frac{11!}{9!}$

b) $\frac{8!}{5!2!}$

c) $\frac{15!}{3!8!}
$

d) $\frac{14!}{4!5!}$

I tried doing these in my calculator but you cannot because the numbers are too big.

2. (2) Do some canceling of common terms first.

$\frac{11!}{9!} = \frac{11 \times 10 \times 9 \times 8 \times 7 \times 6 ...\times 1}{9 \times 8 \times 7 \times 6... \times 1} = 11 \times 10$

Do this for the others and cancel factors than appear on both the top and bottom. Then the multiplications should be able to be done on your calculator. Strange your calculator can't do them the way they are - most calculators can handle factorials up to about $69!$