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Janice is packing her bags for her vacation. She has 5 unique action figures, but only 3 fit in her bag. How many different groups of 3 action figures toys can she take?
- a)10
- b)15
- c)20
- d)25
Correct answer is option 'A'. Can you explain this answer?
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Janice is packing her bags for her vacation. She has 5 unique action f...
Solution:
To find out the number of different groups of 3 action figures that Janice can take, we can use the combination formula:
n C r = n! / r!(n-r)!
where n is the total number of items, r is the number of items to be selected, and ! denotes factorial.
In this case, Janice has 5 unique action figures and she wants to select 3 of them. So, we can plug these values into the formula as follows:
5 C 3 = 5! / 3!(5-3)! = (5 x 4 x 3) / (3 x 2 x 1) = 10
Therefore, Janice can take 10 different groups of 3 action figures with her on vacation. The correct option is A.
To find out the number of different groups of 3 action figures that Janice can take, we can use the combination formula:
n C r = n! / r!(n-r)!
where n is the total number of items, r is the number of items to be selected, and ! denotes factorial.
In this case, Janice has 5 unique action figures and she wants to select 3 of them. So, we can plug these values into the formula as follows:
5 C 3 = 5! / 3!(5-3)! = (5 x 4 x 3) / (3 x 2 x 1) = 10
Therefore, Janice can take 10 different groups of 3 action figures with her on vacation. The correct option is A.
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Janice is packing her bags for her vacation. She has 5 unique action f...
5C3 = 10
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Janice is packing her bags for her vacation. She has 5 unique action figures, but only 3 fit in her bag. How many different groups of 3 action figures toys can she take?a)10b)15c)20d)25Correct answer is option 'A'. Can you explain this answer?
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