There are
ways of picking 2 of the 10 available positions for a 0. 8 positions remain.
There are
ways of picking 3 of the 8 available positions for a 1. 5 positions remain, but we're filling all of them with 2s, and there's
way of doing that.
So we have

The last expression has a more compact form in terms of the so-called multinomial coefficient,

It would shift up, that is the anwser
To find out how many hours it rained, divide the total rise in the river by the amount it rose every hour.

First convert the mixed number into an improper fraction. We do this by multiplying the denominator to the whole number, adding it to the numerator, which becomes our new numerator, and we keep the denominator the same:

When dividing fractions we flip(the reciprocal) the one we're dividing by and multiply:

Multiply the numerators and denominators together:

Simplify by dividing:

So it rained for 10 hours.
241,864,704 many different passwords are possible.
The total characters of the password is six in which it is given that first character should start with W, X, Y or Z. So the first character can be filled in 4 ways.
For next five characters it can be any letter of the alphabet or any numeric digit so it will be 26 + 10 = 36.
So second, third, fourth, fifth and sixth space can be taken by 36 characters.
Therefore the total no. of passwords will be 4 * 36 * 36 * 36 * 36 * 36 that is equal to 241,864,704.
To solve more questions like this
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Answer:
Option (C)
Step-by-step explanation:
Two statements given in the question are,
p: Memorial Day is in July
q: Parallel lines never intersect
We have to tell the represent the symbolic notation of the compound statement,
"Memorial Day is in July or parallel lines intersect"
Here word 'Or' is combining these statements.
We know word 'Or' means Disjunction which is denoted by the symbol (∨).
So the compound statement will be denoted by p ∨ q.
Option (C) will be the answer.