Bissoy.com
Doctors Medicines MCQs Q&A

The manger of a football team wants to form the core of his team comprising of 5 players. He reckons that there are 6 defenders and 4 forwards who could be part of the core that the manager wants to build around. How many different ways can the manager form this core, if the team needs to have exactly two defenders on it?

The manger of a football team wants to form the core of his team comprising of 5 players. He reckons that there are 6 defenders and 4 forwards who could be part of the core that the manager wants to build around. How many different ways can the manager form this core, if the team needs to have exactly two defenders on it? Correct Answer 60

Total player of in football team is 11 including 1 goal keeper is not considered. Therefore 10 players.
⇒ 6 defenders and 4 forwards = 6 + 4 = 10 comprising 5 players in core.
∴ 6 defenders in a team at least 2 defenders is exactly.

6C2 × 4C3 = (6!)/(4!) × (2!) × (4!/1!) × (3!)

⇒ (6 × 5 × 2) = 60

∴ the required answer be 60

Related Questions

In the following question, sentences of a paragraph have been jumbled and labelled as A, B, C and D. You are required to rearrange the jumbled sentences of the paragraph and mark your response accordingly by selecting the correct option. A:  These various forms of football are known as football codes. B:  The word football normally means the form of football that is the most popular where the word is used. C: Sports commonly called football include association football (known as soccer in some countries); gridiron football (specifically American football or Canadian football); Australian rules football; rugby football (either rugby league or rugby union); and Gaelic football. D: Football is a family of team sports that involve, to varying degrees, kicking a ball to score a goal.
The manager of a football team of eleven players wants to take photographs of his team, six players at a time. He can choose anyone out of four renowned photographers to take the photographs. In how many ways can the photographs be taken, if the Captain and the Vice-Captain of the team are always included in the photographs? Also find out in how many ways can the photographs be taken, if the Captain and the Vice-Captain of the team are never included in the photographs?
In a room there are six Bengali, twelve engineers and fifteen football players. Only one of them was a bengali Engineer who played Football. Two were Bengali Engineers but did not play football and two were Bengali football players and were not engineers. If there were 24 people in the room, and at least one of them were Bengali, engineer or a football player, how many were engineers and played football but not bngali?
In a college camp, 30 players play all three sports viz; cricket, football, and hockey. 140 players play exactly one sport and total players who play only football and only hockey are 75. If a total of 120 players play cricket, then how many players play cricket along with exactly one more sport?
The following questions have three statements. Study the question and the statements and decide which of the statement(s) is/are necessary to answer the question. Among 400 cricket players, find the players who played in IPL 1 and IPL 2 but not in IPL 3. Statement I: 180 players played in IPL-1 out of which 25 players played in only IPL-1. Statement II: 230 players played in IPL-2 out of which 45 players played in only IPL-2. Statement III: 290 players played in IPL-3 out of which 110 players played in only IPL-3.
45% players played in 1st world cup out of which 25 players played in only 1st world cup. 57.5% players played in 2nd world cup out of which 45 players played in only 2nd world cup. 72.5% players played in 3rd world cup out of which 110 players played in only 3rd world cup. Find the players who played in both 1st world cup and 2nd world cup but not in 3rd world cup, if total number of players is 400.
In the following figure, square represents hockey players, triangle represents cricket players, circle represents kabaddi players and rectangle represents football players. Which set of letters represents hockey players who do not play football and cricket players who play kabaddi?
In the given Venn diagram, different areas denote different types of players. 'A' denotes 'tennis players', 'B' denotes 'badminton players', 'C' denotes 'hockey players' and 'D' denotes 'football players'. Which area represents the group of all types of sports players?
Read the passage carefully and choose the best answer to each question out of the four alternatives and click the button corresponding to it.
Ants have been living on the earth for more than 100 million years and can be found almost anywhere on the planet. It is estimated that there are about 20000 different species of ants. For this reason ants have been called Earth's most successful species. If you watch ants for any length of time you will see that they really do communicate with each other and very effectively too. Ants communicate by touching each other with their antennae. Ants also use chemicals called pheromones to leave scent trails for other ants to follow. Ants build many different types of homes. Many ants build simple little mounds out of dirt or sand. Other ants use small sticks mixed with dirt and sand to make a stronger mound that offers protection from rain. Western Harvester ants make a small mound on top, but then tunnels up to 15 feet straight down to hibernate during winter. Ant mounds consist of many chambers connected by tunnels. Different chambers are used for nurseries, food storage, and resting places for the worker ants. Some ants live in wood like termites. Army ants don't make a home at all but travel in a large groups searching for food. Ants are social insects which means they live in large colonies or groups. Some colonies consist of millions of ants. There are three types of ants in each species, the queen, the sterile female workers and males. The male ants only serve one purpose, to mate with future queen ants and do not live very long. The queen grows to adulthood, mates, and then spends rest of her life laying eggs. A colony may have only one queen, or there may be many queens depending on the species. Ants go through four stages of development: egg, larva, pupa and adult. What kind of homes do the army of ants build ?
There is a hint in this question and a statement is given later. Carefully read the excerpts provided and determine the statement based on that episode. The current Australian team has lost three of their last five Test series. They lost their last two Test series, one of which was against Pakistan, which is not considered to be a strong team now. Australia's two best batsman, Steve Smith and David Warner are currently suspended and their absence has weakened the Australian team. There is a lot of dissatisfaction and introspection about how their national team plays in Australia, how they show aggression on the field, how they do not show respect to the team against them, and neglecting the media at the most, and focusing only on winning only, the discussion on the future of the game is ongoing. There are. Australian cricket never reached such a low level. This is the best opportunity to knock them into their own house. In other words, if this India could not beat Australia in Australia in this series, then it would prove that the campaign around this team is only the same: the propaganda. Legislation: The current Australian team won two of the last five Tests they played. Choose the right one from the next option A - The statement is completely true. B - Statement is most true. C - There is no definitive definition based on C-statement. D- Statement is completely false.