There are 7 cages for 7 lions in a zoo. 3 cages out of 7 cages are so

1.	There are 7 cages for 7 lions in a zoo. 3 cages out of 7 cages are so small that 3 out of 7 lions cannot fit in it. In bow many ways can 7 lions be caged in 7 cages?
Answer» Except 3 small cages In remaining 4 cages 3 lions can be caged In ⁴P₃ ways. Now, In the remainIng (1 big + 3 small) 4 cages the remainIng 4 lions can be caged In ⁴P₄ ways. ∴ Total permutations of cagIng 7 lions in 7 cages = ⁴P₃ . ⁴P₄ = (4 × 3 × 2) × 4! = 24 × 24 = 576

There are 7 cages for 7 lions in a zoo. 3 cages out of 7 cages are so small that 3 out of 7 lions cannot fit in it. In bow many ways can 7 lions be caged in 7 cages?

Answer»

Except 3 small cages In remaining 4 cages 3 lions can be caged In ⁴P₃ ways.

Now, In the remainIng (1 big + 3 small) 4 cages the remainIng 4 lions can be caged In ⁴P₄ ways.

∴ Total permutations of cagIng 7 lions in

7 cages = ⁴P₃ . ⁴P₄

= (4 × 3 × 2) × 4!

= 24 × 24

= 576