Four numbers are chosen at random (without replacement) from the set {1, 2, 3, ..., 20}....
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Four numbers are chosen at random (without replacement) from the set {1, 2, 3, ..., 20}. Statement-1 The probability that the chosen numbers, when arranged in some order will form an AP is- 1 85 Statement-2 If the four chosen number form an AP, then the set of all possible values of common difference is (1, 12, 13, 14, 5}. [AIEEE 2010, 8M] (a) Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1 (b) Statement-1 is true, Statement-2 is false (c) Statement-1 is false, Statement-2 is true (d) Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1 Four numbers are chosen at random (without replacement) from the set {1, 2, 3, ..., 20}. Statement-1 The probability that the chosen numbers, when arranged in some order will form an AP is- 1 85 Statement-2 If the four chosen number form an AP, then the set of all possible values of common difference is (1, 12, 13, 14, 5}. [AIEEE 2010, 8M] (a) Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1 (b) Statement-1 is true, Statement-2 is false (c) Statement-1 is false, Statement-2 is true (d) Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1
Expert Answer:
Related Book For
Discrete and Combinatorial Mathematics An Applied Introduction
ISBN: 978-0201726343
5th edition
Authors: Ralph P. Grimaldi
Posted Date:
Students also viewed these mathematics questions
-
Use the Flu Triage example to construct a simulation of a drive through car wash. The primary difference is that this model will require three cumulative probability functions, whereas the Flu Triage...
-
A hand of 10 cards is chosen at random without replacement from a deck of 52 cards. What is the probability that the hand contains exactly 2 Aces, 2 Kings, 3 Queens, and 3 Jacks?
-
The following additional information is available for the Dr. Ivan and Irene Incisor family from Chapters 1-5. Ivan's grandfather died and left a portfolio of municipal bonds. In 2012, they pay Ivan...
-
In the Diffie-Hellman protocol, what happens if, x and y have the same value? That is, Alice and Bob have accidentally chosen the same number. Are the values of R1 and R2 the same? Are the values of...
-
Journal entry to correct recording error In the fiscal year ended December 31, 2008, Bostick Enterprises paid $120,000 for equipment, which it had purchased on January 1, 2008 The equipment has an...
-
Hi-T Company uses the weighted average method of process costing. Information for the companys first production process follows. All direct materials are added at the beginning of this process, and...
-
What are the primary objectives of (a) the review of the system, (b) a transaction walk-through review, (c) a preliminary evaluation, (d) tests of compliance, and (e) evaluation of the system?
-
On December 31, 2014, Herndon Corp. issues 512%, 10-year convertible bonds payable with a maturity value of $4,000,000. The semiannual interest dates are June 30 and December 31. The market interest...
-
Suppose the government of Freedonia spends money on only defense, and gets revenue through income taxes. In 1933, the government spent $150 Million on defense and collected $110 Million worth of...
-
The smooth rod of mass M rests inside the glass. Determine the reactions on the rod. Given: M = 20 gm a = 75 mm b = 200 mm = 40 deg g = 9.81m/s2 b.
-
Revenue Recognition at a Point in Time versus Revenue Recognition Over Time. The market company won a contract to build a shopping center at a price of $300 million. The following schedule details...
-
When sucking hard, we can reduce gauge pressure in lungs to -80 mmHg. Diet pop has a density of 10 3 kg/m 3 (essentially water). What is the max height that pop can be sucked up a straw?
-
The diagnosis should appear on one line in the following order. Note: Do not include the plus sign in your diagnosis. Instead, write the indicated items next to each other. Code + Name + Specifier...
-
Pacific Ink had beginning work-in-process inventory of $890,960 on October 1. Of this amount, $358,200 was the cost of direct materials and $532,760 was the cost of conversion. The 62,000 units in...
-
Dividends Per Share Internal Insights Inc., a developer of radiology equipment, has stock outstanding as follows: 25,000 shares of cumulative preferred 1% stock, $160 par, and 83,000 shares of $25...
-
A new manufacturer of women's cosmetics was planning to retail the company's products through mail order. The management was considering the use of direct-mail advertisements to stimulate the sales...
-
The following items were displayed in the statement of affairs for Lubbock Company: Fully secured liabilities ......... $90,000 Partially secured liabilities ....... 12,000 Unsecured liabilities...
-
Prove Theorem 17.14. L1, L2 be an orthogonal pair of n X n Latin squares. If L1, L2 are standardized as L*1, L*2, then L*1, L*2 are orthogonal.
-
In how many ways can 15 (identical) candy bars be distributed among five children so that the youngest gets only one or two of them?
-
For n 3, recall that the wheel graph, Wn, is obtained from a cycle of length n by placing a new vertex within the cycle and adding edges (spokes) from this new vertex to each vertex of the cycle....
-
A container of an organic liquid a $25^{\circ} \mathrm{C}$ has a mass of $1100 \mathrm{~kg}$ and a volume of $0.94 \mathrm{~m}^{3}$. Find the liquid's weight, its density, and its specific gravity.
-
A vertical, cylindrical tank with a diameter of $10 \mathrm{~m}$ and a depth of $4 \mathrm{~m}$ is filled to the top with water at $25^{\circ} \mathrm{C}$. If the water is heated to $60^{\circ}...
-
The system in Figure P1.6 is at $20^{\circ} \mathrm{C}$. If atmospheric pressure is $101.3 \mathrm{kPa}$ and the absolute pressure at the bottom of the tank is $264.1 \mathrm{kPa}$, what is the...
Study smarter with the SolutionInn App