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What is mean by logic
Solve the following set of recurrence relations and initial conditions3an-1+n^2-3,n>1,a0=1
1. There are 41 candidates approved to be allotted as the F.D.R.E. council of cabinets. Historic facts of the candidates are shown below, 8 were served as former cabinet members,14 were university presidents, 15 served as members of P.R.H., 2 served in former cabinet and as P.R.H, 4 served as university presidents and members of former cabinet, 6 were served as university presidents and members of P.R.H, 1 served in all the three positions. The find the number of candidates:
a. Served in none of the three positions?
b. Only university presidents?
c. At least one of the three positions?
d. Exactly two positions?
How many distinct permutations are there in each word?
20. MOMMY
21. REARRANGE
22. MATHEMATICS
23. PROBABILITY
24. STATISTICS
25. PHILIPPINES
In a survey of 130 people, the following data were collected: 106 people subscribed to the newspaper, 29
people subscribed to magazines, and 17 people were members of a mail CD club. Seventeen subscribed to
both the newspaper and the magazines, 5 people subscribed to magazines and were members of a CD
club, and 10 people subscribed to the newspaper and were members of a mail CD club. Three people
subscribed to both the newspaper and magazines and were members of a mail CD club. Make and fill in a
Venn diagram to illustrate this situation
4. A survey of 100 students produced the following information: 30 speak English, 45 speak Hindi and 60 speak Marathi. It is found that 10 speak both. English and Hindi, 20 speak both Hindi and Marathi, 15 speak both English and Marathi and 5 speak all the three languages.
a) How many of these students speak none of the three languages ? b) How many of these students speak exactly two languages ?
A survey of 100 students produced the following information: 30 speak English, 45 speak Hindi and 60 speak Marathi. It is found that 10 speak both English and Hindi, 20 speak both Hindi and Marathi, 15 speak both English and Marathi and 5 speak all the three languages. a) How many of these students speak none of the three languages ? b) How many of these students speak exactly two languages ?
Identify the mapping diagram that represents the relation and determine whether the relation is a function(−3,−6),(−1,−6),(5,−6),(8,−6)
Given P(x,y) :y=x+5 ,determine the truth value of each of the following if the universe is the set of real numbers.
Determine wheter 4 is the element of each of the following sets
A: P={1,2,3,4,5}
B: R={prime numbers}
