Answer the triangle
2 answers:
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Answer:
The number of ways of selecting of n items form r different items =
A store is selling 5 types of hard candies: cherry, strawberry, orange, lemon and pineapple.
A) How many ways are there to choose 32 candies?
So, n = no. of items = 32
r = no. of types of items = 5
So, No. of ways to choose 32 candies =
=
=
=
So, No. of ways to choose 32 candies is 58905
B)32 candies with at least a piece of each flavor?
Out of 32 you choose 5 candies of different types
So, Remaining candies = 32 - 5 = 27
So, No. of ways to choose 27 candies =
=
=
=
So, No. of ways to choose 32 candies with at least a piece of each flavor is 31465
C) 32 candies with at least 4 cherry and at least 6 lemon?
So, you already choose 6+4= 10
So, remaining candies = 32-10 = 22
So, No. of ways to choose 22 candies =
=
=
=
Hence No. of ways to choose 32 candies with at least 4 cherry and at least 6 lemon is 14950
Value of c is 16 for which equation is a square of binomial !
<u>Step-by-step explanation:</u>
Here we meed to find the value of c for which equation f(x) = x^2-8x+c or , is a square of a binomial . Let's find out:
We know that
⇒ ..........(1)
Let's simplify given equation in question
⇒
⇒
Comparing this equation with (1) we get :
⇒
⇒
⇒
Therefore , Value of c is 16 for which equation is a square of binomial !