Question
Among a set of 6 black balls and 3 white balls, how many
selections of 5 balls can be made such that at least 3 of them are black balls?Solution
Selecting at least 3 black balls from a set of 6 black balls in total selection of 5 balls can be 3 black and 2 white balls 4 black and 1 white balls 5 black and 0 white balls Therefore, our solution expression looks 6C3 × 3C2 + 6C4 × 3C1 + 6C5 × 3C0 = 20 × 3 + 15 × 3 + 6 × 1 = 60 + 45 + 6 = 111 ways
Which Indian company was highlighted for having diversified interests in ports, airports, and energy?
What is the primary aim of the joint military exercise AUSTRAHIND 2024?
When is Statistics Day celebrated in India?
What Brand Strength Index (BSI) score did Amul achieve to be recognized as the world’s strongest food brand in 2024?
Which two coal mines in India are ranked among the world's 10 largest?
Consider the following statements regarding the "Global Conference on Cooperation in Enforcement Matters (GCCEM)".
I. The Directorate of Revenue ...
Who has been appointed as the next Director of the Federal Bureau of Investigation (FBI) by US President-elect Donald Trump?
Consider the following statement is/are associated with Bharat Bill Payment System (BBPS)?
I. BBPS is an RBI driven system administer...
Which organization is implementing the ‘Jalvahak’ scheme in collaboration with the Inland Waterways Authority of India (IWAI)?
What was the main objective of the Global Initiative on Digital Health launched by India and WHO at the G-20 summit in Gandhinagar?
Relevant for Exams:
