a bag contain 30 tokens numbered serially from 0 to 29. the numberof ways of choosing 3 tokens from the bag such that the sum on them is 30
Answers
Given : a bag contain 30 tokens numbered serially from 0 to 29
To find : the number of ways of choosing 3 tokens from the bag such that the sum on them is 30
Solution
Order of selection does not matter
one of the coin other two coins
0 (1 , 29 ) ...................( 14 , 16) 14 ways
1 (2 , 27) ................... (14 , 15) 13 ways
2 (3 , 25) ..................( 13 , 15) 11 ways
3 (4 , 23) ..................( 13 , 14) 10 ways
4 (5 , 21 ) ...................( 12 , 14) 8 ways
5 (6 , 19) ................... (12 , 13) 7 ways
6 (7 , 17) ..................( 11 , 13) 5 ways
7 (8 , 15) ..................( 11 , 12) 4 ways
8 (9 , 13) ..................( 10 , 12) 2 ways
9 (10 ,11) 1 way
Total possible ways = 14 + 13 + 11 + 10 + 8 + 7 + 5 + 4 + 2 + 1
= 75
75 ways to choose 3 tokens from the bag such that the sum on them is 30
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Answer:
Total possible ways = 14 + 13 + 11 + 10 + 8 + 7 + 5 + 4 + 2 + 1
Step-by-step explanation:
75