Answer:
d) 330
Step-by-step explanation:
The number of ways can a dance instructor send 4 of her 11 students to summer dance program is C(11 , 4)
That is
ways
by using formula 
now simplification

= 
after cancelling 7! and on simplification
= 
after cancellation we get 330 ways
The number of ways can a dance instructor send 4 of her 11 students to summer dance program is 330
Answer: 26/3
Step-by-step explanation: When dividing by a fraction, we can change
the division sign to multiplication and flip the second fraction.
So 13/2 ÷ 3/4 means the same thing as 13/2 · 4/3.
So when dividing by a fraction, we can just multiply
by the reciprocal of that fraction or that fraction flipped.
Next we cross-cancel.
4 and 2 reduce to 2 and 1.
Multiplying across the numerator and denominators we have 26/3.
Answer:
Depends
Step-by-step explanation:
If a and b = 0, then true
If a and b equal anything else then it is false
She originally started with 23.
We can tell this by working the equation backwards. Since she has 5 left and she had just given half to her brother, we know she had 10 a moment ago.
Before that, Mary had eaten a cookie. So we add 1 to the total and now have 11.
Before eating that cookie, she has given half to her sister, which would give her 22.
And before giving half to her sister, she had eaten the first one, which would give us 23 to start with.