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Standard XII

Mathematics

Combination

A father with...

Question

A father with $8$ children takes $3$ at a time to a zoological garden. If the father does not take the same $3$ children more than once, then the number of times he will go to the garden is

336

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56

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Solution

The correct option is C $56$
Number of children $= 8$
Number of children taken at a time $= 3$
We know that number of times the father will go the the garden by taking 3 children out of 8 children $=^{8} C_{3} = \frac{8!}{3! 5!} = 56$

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A father with 8 children takes 3 at a time to a zoological garden. If the father does not take the same 3 children more than once, then the number of times he will go to the garden is

The correct option is C 56Number of children =8Number of children taken at a time =3We know that number of times the father will go the the garden by taking 3 children out of 8 children =8C3=8!3!5!=56

A father with $8$ children takes $3$ at a time to a zoological garden. If the father does not take the same $3$ children more than once, then the number of times he will go to the garden is

The correct option is C $56$
Number of children $= 8$
Number of children taken at a time $= 3$
We know that number of times the father will go the the garden by taking 3 children out of 8 children $=^{8} C_{3} = \frac{8!}{3! 5!} = 56$