In how many ways can 2 scholarships of unequal value be awarded among 16 stdents , without giving both to the same student?
Answers
Given : 2 scholarships of unequal value be awarded among 16 students without giving both to the same student
To Find : Number of ways
Solution:
Method 1 :
One of the scholarship can be given in 16 ways
As scholarships can not be given to the same student
Hence another scholarships can be given in 15 ways
Hence Number of ways = 16 × 15 = 240
Method 2 :
2 students out of 16 can be selected in ¹⁶C₂ ways
= 16!/(14!.2!)
= 16 * 15 /2
= 120
and These 2 scholarship can be given in 2! = 2 was as scholarship are unequal
Hence total ways = 120 * 2 = 240
In 240 ways , scholarships of unequal value be awarded among 16 students , without giving both to the same student?
Learn More:
a group consists of 7 boys and 5 girls find the number of ways in ...
brainly.in/question/9596481
IN HOW MANY WAYS, WE CAN CHOOSE TWO TEAMS OF MIXED ...
brainly.in/question/7272260
in how many different ways can you cricket team finish the trophy ...
brainly.in/question/17588792