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A box contains 7 red, 6 white and 4 blue balls. In how many ways can a selection of 3 balls be made,if all the balls are red ?
- a)30
- b)42
- c)35
- d)33
- e)22
Correct answer is option 'C'. Can you explain this answer?
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A box contains7red,6white and4blue balls. In how many ways can a selec...
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A box contains7red,6white and4blue balls. In how many ways can a selec...
Solution:
Total number of red balls:
- Total number of red balls = 7
Number of balls to be selected:
- Number of balls to be selected = 3
Number of ways to select 3 red balls:
- Since we have to select all red balls, we have only 7 red balls to choose from.
- Therefore, the number of ways to select 3 red balls out of 7 red balls is given by the combination formula: nCr = n! / r!(n-r)!
- Number of ways = 7C3 = 7! / 3!(7-3)! = 35
Therefore, the number of ways to make a selection of 3 balls when all the balls are red is 35, which is option 'C'.
Total number of red balls:
- Total number of red balls = 7
Number of balls to be selected:
- Number of balls to be selected = 3
Number of ways to select 3 red balls:
- Since we have to select all red balls, we have only 7 red balls to choose from.
- Therefore, the number of ways to select 3 red balls out of 7 red balls is given by the combination formula: nCr = n! / r!(n-r)!
- Number of ways = 7C3 = 7! / 3!(7-3)! = 35
Therefore, the number of ways to make a selection of 3 balls when all the balls are red is 35, which is option 'C'.
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