Question
Maria and Ariana were only two girls participating in a
Billiards tournament. Every Participant played two games with every other participant. The number of games that boys played between themselves proved to exceed by 204, compared to the number of games the boys played with girls. How many participants were there?Solution
Let the number of Boys participating in the tournament be ‘n’ Since, every participant played two games with every other participant, Therefore, the total number of games played among the boys is 2 × nC2 = n(n-1) And the number of games played with each girls = 2n But since there are two girls, hence the total number of games boys played with 2 girls = 2 × 2n = 4n Now, according to the question { n(n-1)} – 4n = 204 n2 - 5n – 204 = 0 n2 - 17n + 12n – 204 = 0 n(n-17)+ 12 (n-17)= 0 n=17,-12 Ignoring negative value We get, n=17 ∴ total number of Participants = 17 + 2 = 19Â
'Dustlik-Il' is a field training military exercise held in March, 2021 between India and_____.
The Reserve Bank of India ( RBI ) regulates the functioning and operations of Non - Banking Financial Companies ( NBFCs ) in India . To ensure financia...
Who among the following is associated with the musical instrument Surbahar?
"One District One Product" (ODOP) is an initiative aimed at promoting domestic production of handicrafts, readymade clothes, leather products, and more....
Which of the following statements about the river Brahmaputra is INCORRECT?
Prabha Atre is a renowned person in which field?
There are sixteen Central Public Sector Undertakings under the Defence, which of the following is not included in the Defence PSUs? Bharat Dynamics Limi...
The first meeting of the Constituent Assembly of India was held on:
Which of the following statements is true about Pradhan Mantri Vaya Vandana Yojana (PMVVY)?
1. It is a pension plan for senior citizens
<...Who among the following was the first woman classical dancer in independent India to be nominated as a member to the Rajya Sabha?