Bissoy.com
Doctors Medicines MCQs Q&A

A school has scheduled three volleyball games, two soccer games, and fourbasketball games. You have a ticket allowing you to attend three of the games. In howmany ways can you go to two basketball games and one of the other events?

A school has scheduled three volleyball games, two soccer games, and fourbasketball games. You have a ticket allowing you to attend three of the games. In howmany ways can you go to two basketball games and one of the other events? Correct Answer 30

Since order does not matter it is a combination. 

 

The word AND means multiply. 

 

Given 4 basketball, 3 volleyball, 2 soccer. 

 

We want 2 basketball games and 1 other event. There are 5 choices left. 

C(n,r) 

C(How many do you have, How many do you want) 

C(have 4 basketball, want 2 basketball) x C(have 5 choices left, want 1) 

C(4,2) x C(5,1) = (6)(5) = 30

 

Therefore there are 30 different ways in which you can go to two basketball games and one of the other events.

Related Questions

From a group of 100 people, the selection is made for three teams of namely, football, basketball and volleyball, one each. One person likes at least one game. 12 people like both football and basketball, 6 people like both volleyball and football and 8 people like both basketball and volleyball. 4, 2, and 33 people like only football, basketball, and volleyball respectively. So, how many of them like all three games?
Six friends P, Q, R, S, T and U are members of a club and play a different game of Football, Cricket, Tennis, Basketball, Badminton and Volleyball. T who is taller than P and S plays Tennis. The tallest among them plays Basketball. The shortest among them plays Volleyball, Q and S neither play Volleyball nor Basketball. R plays Volleyball. T is between Q who plays Football and P in order of height. Who among them plays Basketball?
The charges for a five-day trip by a tourist bus for one full ticket and a half-ticket are Rs. 1440 inclusive of boarding charges which are same for a full ticket and a half-ticket. The charges for the same trip for 2 full tickets and one half-ticket inclusive of boarding charges are Rs. 2220. The fare for a half-ticket is 75% of the full ticket. Find the fare and the boarding charges separately for one full ticket.
If A attends a party, B will not attend. C will attend only if both A and D attend. E will attend only if both B and D attend. F will attend if any three attend. Out of these total 6 persons, miximum how of them can you expect that they will attend the party?
If A attends a party, B will not attend. C will attend only if both A and D attend. E will attend only if both and D attend. F will attend if any three attend. Out of these total 6 persons, miximum how of them can you expect that they will attend the party?
In the following question given below are some statements followed by some conclusions. Taking the given statements to be true even if they seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusion logically follows the given statements. Statement I. Some football are volleyball. II. Some volleyball are basketball. Conclusions: I. All volleyball are basketball. II. At least some basketball is football.
Which of the following statements are true in context of scheduled banks?
1. All banks which are included in the Second Schedule to the Reserve Bank of India Act, 1934 are Scheduled Banks.
2. These banks comprise Scheduled Commercial Banks and Scheduled Co-operative Banks.
3. Scheduled Commercial Banks in India are categorized into five different groups - SBI, Nationalised Banks, Regional Rural Banks, Foreign Banks and Other Indian Scheduled Commercial Banks in the private sector.
4. Scheduled Co-operative Banks consist of Scheduled State Co-operative Banks and Scheduled Urban Co-operative Banks.
A survey of 500 TV viewers produced the following information. 285 viewers watch football games 195 viewers watch hockey games, 115 viewers watch basketball game, 45 viewers watch football and basketball games, 70 viewers watch football and hockey games, 50 viewers watch hockey and basketball games, and 50 viewers do not watch any of three games. How many viewers watch exactly one of the three games?
A Concert half ticket costs half the full basic ticket and the VIP area charge is the same on half ticket as on full ticket. One VIP ticket costs Rs. 216 and one full and one half VIP tickets cost Rs. 327. What is the basic full ticket cost and what is the VIP charge?
B' and 'C' were on the railway platform. 'B' had taken a ticket from Allahabad to Delhi. 'B', an illiterate woman handed over the ticket to 'C' in order to ascertain whether she had a right ticket. 'C' under the pretence of returning the ticket to Delhi substituted it for the ticket of shorter journey and returned that as 'B's ticket. In this case, 'C' is liable for