There are 6 balls of each of the four colours: red, white, yellow and black in a bag (balls of same colour are identical). Let n be the total number of different ways of drawing 6 balls one by one wit

Question

There are 6 balls of each of the four colours: red, white, yellow and black in a bag (balls of same colour are identical). Let n be the total number of different ways of drawing 6 balls one by one without replacement such that no two consecutive balls are of the same colour and no colour is missing in the draw. Find the non-zero digit of n .

Answer:

6

Solution:

$n = 4 \times 3^{5} -^{4} C_{1} \cdot 3 \cdot 2^{5} +^{4} C_{2} \cdot 2 \cdot 1^{5} = 600$

TestHub · Accepted Answer

n = 4 × 3 5 − 4 C 1 ​ ⋅ 3 ⋅ 2 5 + 4 C 2 ​ ⋅ 2 ⋅ 1 5 = 600

Mathematics - Permutation & Combination Question with Solution | TestHub

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