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A bag contains 3 black, 4 white and 2 red balls, all the balls

Question

A bag contains $3$ black, $4$ white and $2$ red balls, all the balls being different. The number of selections of at most 6 balls containing balls of all the colors is

42 (4!)

270

(2^{6} - 1) (4!)

none of these

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Theodore Discussed

A bag contains

3

black,

4

white and

2

red balls, all the balls being different. The number of selections of at most 6 balls containing balls of all the colors is

13 mins ago

Discuss this question LIVE

13 mins ago

Text solutionVerified

Required number of selection

=^{3} C_{1} \times^{4} C_{1} \times^{2} C_{1} (^{6} C_{3} +^{6} C_{2} +^{6} C_{1} +^{6} C_{0}) = 3 \times 4 \times 2 (20 + 15 + 6 + 1) = 42 (4!)

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Question Text	A bag contains $3$ black, $4$ white and $2$ red balls, all the balls being different. The number of selections of at most 6 balls containing balls of all the colors is
Answer Type	Text solution:1
Upvotes	150