## CAT | Permutation Combination, Probability

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### Quiz Begins Here

Q #1
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#### CAT Permutation and Combination: Counting natural numbers

Sum of three Natural numbers a, b and c is 10. How many ordered triplets (a, b, c) exist?

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Q #2
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#### CAT Permutation and Combination: Counting Whole Numbers

Sum of three Whole numbers a, b and c is 10. How many ordered triplets (a, b, c) exist?

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Q #3
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#### CAT Permutation and Combination: Counting - Toys and Boxes

In how many ways 11 identical toys be placed in 3 distinct boxes such that no box is empty?

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Q #4
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#### CAT Permutation and Combination: Puzzle

a, b, c are three distinct integers from 2 to 10 (both inclusive). Exactly one of ab, bc and ca is odd. abc is a multiple of 4. The arithmetic mean of a and b is an integer and so is the arithmetic mean of a, b and c. How many such triplets are possible (unordered triplets)?

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Q #5
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#### CAT Permutation and Combination: Counting 7 Digit Numbers

A seven-digit number comprises of only 2's and 3's. How many of these are multiples of 12?

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