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. (a) How many different positive three-digit whole numbers can be formed from

the four digits 2, 6, 7, and 9 if any digit can be repeated?

(b) How many different positive whole numbers less than 1000 can be formed

from 2, 6, 7, 9 if any digit can be repeated?

(c) How many numbers in part (b) are less than 680 (i.e. up to 679)?

(d) What is the probability that a positive whole number less than 1000, chosen

at random from 2, 6, 7, 9 and allowing any digit to be repeated, will be less

than 680?

7. Answer question 7 again for the case where the digits 2, 6, 7, 9 can not be repeated


Academicians was surveyed of their loyalty to the university. They're asked “If given an offer by other university equivalent or slightly better than present position, would you remain or not?Table 4 represents the responses of the 200 academicians which were cross-classified with their length of service. 

Table 4: Loyalty of Academicians & Length of Service.

Length of Service Total

Loyalty Less than1 yr, 1-5 yr, 6-10 yr, More than 10 yr

Remain 10 30 5 75 120

Not remain 25 15 10 30 80  

a)represent the information in Table 4 as a tree diagram.             

b)What's the probability of randomly who is loyal and who has more than 10 yr service?

c)What's the probability of who would not remain and has less than 1-yr of service?

d)What's the probability of who would remain, given that he or she has 1-5 yr of service?

e)What's the probability of who would not remain, given that he or she 6-10 yr of service?


               



Assume that a consumer consumes two commodities x and y and makes give combination for the two commodities? Explain its In your own words

A current of 10 A flows through a conductor and 10w is dissapted,what p.d exist across the end of the conductor

Learners practice in relation to the following factors

Physical setting

Student

Curriculum and resource

Teacher

Behavior, Learning and Teaching


At the State Department, Secretary Antony Blinken has emphasized that “diversity and inclusion make our diplomatic team stronger, smarter, more creative, more innovative.” Speaking to the press after announcing former Ambassador Gina Abercrombie-Winstanley as the department’s first chief diversity and inclusion officer, Blinken added: “As President Biden has made clear, prioritizing diversity, equity, inclusion, and accessibility is also a national security imperative.” Do you agree with Sec.of State Blinken?


Teachers' practice in relation to the following factors

Physical setting

Student

Curriculum and resource

Teacher

Behavior, learning Teaching


Assign an oxidation number to each element in the reaction.

CO(g) + 2H2(g) → CH3OH(g)

In CO, the oxidation number of C is , and that of O is . In H2, the oxidation number of H is . In CH3OH, the oxidation number of C is , that of O is , and that of H is .


Solve y’=y-x2


, y(0)=1, by Picord’s method upto the third approximation . Hence find


the value of y(0,1), y(0,2)

Briefly explain the link between conflict theory(Marxism) and dominant role of the family

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