A coin is flipped 8 times where each flip comes up either heads or tails. How many possible outcomes. Use formula C (n.r) = n!/r!(n-r )!

Q: n 21. if an+1 = an an 2n + 3 n=1

A: We have, an+1=n2n+3an Substitute value of n=0,1,2,3,4,..... At n=0, a1=020+3a0a1=0 At n=1,…

Q: If N=6+4+3+1+1/3N, then the value of N is?

A:

Q: Why we used k not n?

A: Here the use of letter k is only to avoid the confusion between statement and the proof.For example,…

Q: calculate 1+3+5+...+(2n-1) for n = 1,2...,6.

A:

Q: What is the value of 7∑n=1(n2+3)?

A:

Q: Given that m*n=3m-n, find the value for y for which (2*1)*y=0

A: Given mn=3m-n

Q: e a graphing utility to find the indicated partial sum Sn and complete the table. Then use a…

A:

Q: How was the S1 found on answer A?

A:

Q: For n = 10 and x = 7, find n! x!(n-x)!

A: The given expression is .To solve the expression for and .

Q: If (n, 15) = 1 and o(n) = 56, find o (75n).

A: Given: n, 15=1 and σn=56.To find: σ75n

Q: Suppose P(A) = 0.6 and P(B| A) = 0.4. Find P(A&B).

A:

Q: 3x2 -12 at 9x

A:

Q: (-1)²-1n n+vn b) an (Hint: Show what happens when n is odd and when n is even) %D

A: A  sequence is an enumerated collection of objects in which repetitions are allowed and order…

Q: . Verify the formula п(n + 1) 2 for n = 10, 50, and 100.

A: ∑x=1nx = n(n+1)2To verify the formula for n = 10, 50 and 100.

Q: If n(A) = 42, n(B) = 17, and n(A N B) = 8, find n(A U B).

A:

Q: Suppose P(A)=0.6, P(B)=0.4, and both A and B are independent. Calculate P(A or B).

A: We have to find given probability.

Q: Tp = Ppq n N-n 1-7

A: We have to prove the following formula:

Q: Solve the following equation п! п3 — п

A:

Q: n-5/6 + n+3/7 = 11/21

A: The given expression is

Q: If n(A) = 41, n(B) = 22, and n(A n B) = 6, find n(A U B).

A:

Q: IF N{A} = 3 and N{B} = 5 what is the largest number possible for N{A⋂B}

A: N(A)=3N(B)=5

Q: 13 =D It2 find nd the Va

A: A function defines a relationship between two sets, where one set is dependent on other set. Any…

Q: What is the smallest number that can be represented as the sum of four positive squares (not…

A: Consider the given statement. Since we need to find a number, which is the smallest number of sum of…

Q: Find the value of (-j)!nj.

A:

Q: . n > 5 only if n > 7.

A: Given that n>5 only if n>7

Q: The value of n such that ph pn- ,n> 4 is 15.

A:

Q: If n(A)=40, n(B)=24, and n(A n B)=6, find n(A u B).

A: We use Venn diagram to solve the given question.

Q: Find the value of n(A U B) if n(A) = 8, n(B) = 13 and n(A n B) = 6. n(AUB) (Type a whole number.) =

A:

Q: If n(A) = 41, n(B) = 21, and n(A N B) = 7, find n(A U B).

A: We have to find the value

Q: Assume that P (A n B) = 0.25, P (B) = 0.65, and P ( A 0.15. Find P (A).

A:

Q: If n(A) = 41, n(B) = 21, and n(A n B) = 9, find n(A U B).

A: Given n(A) = 41 n(B) = 21 n(A n B) = 9

Q: A class of n = 12 students takes an exam, and the class average is 80.  One student is allowed to…

A:

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.