

discrete math
'-(oe : length(a) 29, be the alphabet {a,b,c,d,e,f,g) and let 7. Let a) How many elements are in the following set? {ωΣ: no letter in ω is used more than once) b) Find the probability that a random word we has al distinct letters. e) Find the probability that a random word oe has the letter g used exactly once. d) Find the probability that a random word e does not contain the letter g.
'-(oe : length(a)...
i. How many 5-letter passwords (letters may be repeated) can be created from the monkey type- writer from Q1 if it is forbidden for a password to begin and end with the same letter? Answer: 11. Using the monkey typewriter from Q1, how many 8-letter words are there consisting of 8 distinct letters that contain the word 'APE' (as 3 consecutive) letters within the 8-letter word? Answer: iii. Suppose that a group of 9 inhabitants of the Island of Knights...
ework Sets Mult: Problem 7 Problern 7 Settings Previous Problem List Next (3 points) Problems A bit is a digit which can be either 0 or 1. A bit string is a sequence of bits. The length of a bit string is how many bits there are in it. The empty string is the one with zero bits in it (has length zero). lem 1 Hem 2 Tem 3 em 4 em 5 em 6 em 7 (a) How many...
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Part I. For questions 1-10, use only the sum, product and division rules or a tree diagram to solve the problems. 1. Six different airlines fly from New York to Denver and seven fly from Denver to San Francisco. How many different pairs of airlines can you choose on which to book a grip from New York to San Francisco via Denver? 2. How many bit strings of length ten both begin and end with a...
6. Consider the sphere S cut out by z2 + y2 22. Maximize (Daf)P where y, z) 2y +3z and u is a unit vector in the tangent plane to S at the point (A) v3 (E) 2v3 (B) 1+2V2 (C) 2 v3 (G) 3/2 (D) V2
6. Consider the sphere S cut out by z2 + y2 22. Maximize (Daf)P where y, z) 2y +3z and u is a unit vector in the tangent plane to S at the...
Discrete math.
Question 4.(10+16=26 points) Let G = (V1, E1) and H = (V2, E2) be the following graphs: a с u V b z W e d X G = (V1, E1) y H = (V2, E2) a) Draw the complement G of G. b) Show that G and H are isomorphic by writing a graph isomorphism F : V1 + V2.
32 111 8. Shown above is a slope field for the differential equation d dy 2 4 v2 If y - g(r) is the solution to the differential equation with the initial condition g(-12 ,then lim slx) =-1, then lim g(x) is (B) -2 (C) 0 (D) 2 (E) 3
32 111 8. Shown above is a slope field for the differential equation d dy 2 4 v2 If y - g(r) is the solution to the differential equation with...
4 A 8 A V- 12 59. Given Ri > R2, what is the relationship between V1 and V2? d. No conclusion can be made Given R1 > R2, what is the relationship between I, and 12? b 11 12 c. 1, >12 d. No conclusion can be made Which of the following is a valid equation? b. 12 11-4A 121 d 12 12A-1 e 12 11-12A
4 A 8 A V- 12 59. Given Ri > R2, what is...
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(10 points) Write a logic equation for G with minimum number of gates. Suppose that inverters are for free. G= a b c d e + a b c d e + a b c d e + a-b-cod-e + a.b.c.de + a b c d e S[10 points) Find the answer for the following calculations. Circle if it has an overflow or not. signed magnitude (result 8-bit) 2) two's complement (result 8-bit) 6 1111010 (4...
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4. How many distinct permutations are there of the letters in the word (a) great? (b) State which theorem from the text is applicable to solving part (a) (c) greet? (d) probability? e) State which theorem from the text is applicable to solving part (d). (f) probability that begin and end with the letter b? 5. A college football team plays 10 games during the season. In how many ways can it end the season...