NIMCET 2017 Question Paper with solutions

Question : 106 of 120

Marks: +1, -0

M distinct animals of a circus have to be placed in m cages, one is each cage. There are n small cages and p small animal (n< p< m). The large animals are so large that they do not fit in small cage. However, small animals can be put in any cage. The number of putting the animals into cage is

$\{\,↖{(m-n)}P_p\}$ $\{\,↖{(m-p)}P_(m-p)\}$
$\{\,↖{(m-n)}C_p\}$
$\{\,↖{(m-n)}P_p\}$ $\{\,↖{(m-p)}P_(m-p)\}$
$\,↖{(m-n)}P_p$

Validate

Solution:

According to the questions,
Required number of ways = Number of ways of putting p small animals in n cages x Number of ways of putting remaining animals in the cages
=

↖{m-n}P_p

↖{m-p}P_{m-p}

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