There Are Three Rooms In A Hotel: One Single, One Double And One For

1.	There Are Three Rooms In A Hotel: One Single, One Double And One For Four Persons. How Many Ways Are There To House Seven Persons In These Rooms?
Answer» Choose 1 PERSON for the single room &AMP; from the remaining choose 2 for the DOUBLE room & from the remaining choose 4 PEOPLE for the four person room, Then, 7C1 x 6C2 x 4C4 = 7 x 15 x 1 = 105. Choose 1 person for the single room & from the remaining choose 2 for the double room & from the remaining choose 4 people for the four person room, Then, 7C1 x 6C2 x 4C4 = 7 x 15 x 1 = 105.

There Are Three Rooms In A Hotel: One Single, One Double And One For Four Persons. How Many Ways Are There To House Seven Persons In These Rooms?

Answer»

Choose 1 PERSON for the single room &AMP; from the remaining choose 2 for the DOUBLE room & from the remaining choose 4 PEOPLE for the four person room,

Then, 7C1 x 6C2 x 4C4

= 7 x 15 x 1 = 105.

Choose 1 person for the single room & from the remaining choose 2 for the double room & from the remaining choose 4 people for the four person room,

Then, 7C1 x 6C2 x 4C4

= 7 x 15 x 1 = 105.

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There Are Three Rooms In A Hotel: One Single, One Double And One For Four Persons. How Many Ways Are There To House Seven Persons In These Rooms?

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