Question 36

Mathematics Permutation and Combination Hard

m distinct animals of a circus have to be placed in m cages, one in each cage. There are n small cages and p large animals (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 ways of putting the animals into cages is:

(A) <span class="math-tex">\(\{^{m - n}P_p\}\{^{m - n}P_{m - p}\}\)</span>
(B) <span class="math-tex">\(^{m - n}C_p\)</span>
(C) <span class="math-tex">\(\{^{m - n}C_p\}\{^{m - n}C_{m - p}\}\)</span>
(D) <span class="math-tex">\(^{m - n}P_p\)</span>
✓ Correct Answer: Option A Verified Solution

📘 Step-by-Step Solution & Detailed Explanation:

Correct Option is A. Practice regular variations of this Permutation and Combination concept to build speed and accuracy.

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