Among 15 players,8 are batsmen and 7 are bowlers. The probability that a team is chosen of 6 batsmen and 5 bowlers, is

A
$\frac{^{8} C_{6} \times^{7} C_{5}}{^{15} C_{11}}$
B
$\frac{^{8} C_{6} +^{7} C_{5}}{^{15} C_{11}}$
C
$\frac{15}{28}$
D
None of these

Solution:

Total number of ways of selecting 11 players $=^{15} C_{11}$
Favorable cases $=^{8} C_{6} \times^{7} C_{5}$
Required probability $= \frac{^{8} C_{6} \times^{7} C_{5}}{^{15} C_{11}}$

Related content

Kerala NEET UG Merit List 2023

NEET Exam Centres in Hyderabad 2024

Ecology & Environments

NEET Exam Centres in Maharashtra 2024

CBSE Biotechnology and its Applications Class 12 Mind Map for Chapter 10 of Biology, Download PDF

NEET Exam Centres in Tamil Nadu 2024

NEET Exam Centres in Karnataka 2024

Microbes in Human Welfare Class 12 Mind Map- Check Characteristics, Classification, Functions & Examples

NEET Exam Centres in Gujarat 2024

Test your English Vocabulary