Step-by-step explanation:
We are picking 6 numbers from the numbers 1,2,3,4,5,6,7,8,9,10. Since we care about numbers being next to each other, we might think of the 10 numbers as being distributed in 5 boxes (which you can think of as the holes):
| 1 2 | 3 4 | 5 6 | 7 8 | 9 10 |
So on the first box we have the numbers 1 and 2, on the second box we have the numbers 3 and 4, and so on. Since we are picking 6 numbers from those 10 numbers, that means we'll have to pick 6 boxes (and inside each box we pick a number), but we only have 5 available boxes, so by the pigeonhole principle, we'll have to pick 1 same box at least two times. Since on each picked box we'll need to pick a number, on this box which was picked two times, we will have to pick both of its numbers. And so those 2 numbers inside that box will be next to each other (meaning they're consecutive numbers).
Answer: 3/4 or 0.75
Step-by-step explanation:
Since Ernie wants to split the 3 bagels with himself, his wife, and his 2 kids, this means the 3 bagels will be divided among 4 people.
Therefore, the amount received by each person will be:
= 3/4
= 0.75
Each person gets 0.75 bagel.
Answer:
(B) x(x+1)
Step-by-step explanation:
If we take x as one of the integers,
consecutive one is going to be (x+1).
Product of two consecutive integers is x(x+1).
Answer:
I don't get what you are trying to ask?
