Question

1 room contains 20 members 3 rooms contains how many members
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Answer 1

Answer:

60 or more

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

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11th

Maths

Permutations and Combinations

Combinations

In how many ways can five p...

MATHS

In how many ways can five people be arranged in three different rooms if no room must be empty and each room has 5 seats in a single row.

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ANSWER

5 People are to arranged 3 rooms given that no room is empty.

There are 2 basic possibilities :

1.(2,2,1)      2.(3,1,1)

There are 3 rearrangements (room rearrangement) for each possibility.

For 1. Since there are 5 seats in each room 

⇒ Permutations =5P2×5P2×5P1

                             =53×42

                             =4000.

⇒ For 2.  =5P3×5P1×5P1

                 =53×4×3

                 =3000.

⇒ Total =3×(4000+3000)

              =21000 ways.

Hence, the answer is 21000.