Look at number 3 for the answer
Answer:
Step-by-step explanation:
Prime factorize the given number. All factors should have pair. If all factors have pair, then it is a perfect square
EG: 36 : Factors of 36 are 2,3,2,3. Here there are two 2's and two 3's. so 36 is a perfect square.
EG: 24: Factors of 12 are 2,2,3. Here 3 is without pair. so it is not a perfect square.
Answer:
c would be the right and its the best answer
1) This is a combination, so use ⁴⁰C₂.
⁴⁰C₂ = 780
There are 780 handshakes in total.
2) I got my solution by using the combinations formula. Or another way you could do this is to add up... 39 + 38 + 37 + 36 + 35 + 34 + 33 + 32 + 31... +1. You will end up with 780 (I did this to double check my work).
3) The quickest way to figure this out if Drake invited 1,000 people is to use the natural numbers formula = n(n+ 1)/2.
Plug the numbers in: 999(1000)/2 = 499,500
If Drake invited 1,000 people, there would be 499,500 handshakes.
Here are both in fraction form.
i) 7/100
ii) 6/9
