Hi, please find below three questions on permutation-combination. I have got these from an online document, but feel that some of the answers may be wrong. So, it would be great if you can check whether my answer matches yours and then state your answers in reply. Thanks in advance.
Problem 1: If three cards are chosen at random from a standard deck of playing cards, how many different ways are there to draw the three cards if at least two cards are a jack, queen or a king?
OA: 2925
My Answer: 2860
Problem 2:If there are 8 orange bars, 9 red bars and 5 blue bars, how many different ways are there to give a person 2 orange bars, 3 red bars and 1 blue bar?
OA: 11760
My Answer: 117
Problem 3:A five member committee is to be selected from among four Math teachers and five English teachers. In how many different ways can the committee be formed if it must contain at least three Math teachers?
OA: 41
My Answer: 45
Problem 1: If three cards are chosen at random from a standard deck of playing cards, how many different ways are there to draw the three cards if at least two cards are a jack, queen or a king?
OA: 2925
My Answer: 2860
Problem 2:If there are 8 orange bars, 9 red bars and 5 blue bars, how many different ways are there to give a person 2 orange bars, 3 red bars and 1 blue bar?
OA: 11760
My Answer: 117
Problem 3:A five member committee is to be selected from among four Math teachers and five English teachers. In how many different ways can the committee be formed if it must contain at least three Math teachers?
OA: 41
My Answer: 45
