A committee of 5 is to be formed from 6 male students and 5 female students. In how many ways can this be done so that the committee contains at least one male and one female student?
Mr. Hossain invested m taka in a mutual fund which pays 10% interest and n taka in a privet company which pays 9% interest. He invested Tk. 18,000 and required that he receives tk 1,700 as interest. How much did he invest in each company?
50 daily workers can complete a culvert in 40 days. If 30 of them work daily and the rest work in every alternative day, how many more days will be required to complete the project?
A teacher has 6 hours to grade all the papers submitted by the 35 students in his class. He ge through the first 5 papers in 1 hour. How much faster should he work to grade the remaini papers in the allotted time?
A two digit number is six times the sum of the two digits. If the digits are reversed, the number so obtained is 9 less than the original number. What is the original number?
Factorize: x3-21x+20