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Probability of seven cards

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There are seven cards with digits 0, 1, 2, 3, 4, 5, and 6. A child takes four of the card and places them in some order. What is the probability that he obtains a four -digit number less than 3265?

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Neat, step-by-step solutions determining the probability of seven cards are provided.

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(1) The number of ways in which 4 selections can be done out of 25 is C(25, 4) = 12650

Any one of the 4 selected submissions can be ranked as First. This can happen in 4 ways.

Any one of the remaining 3 submissions can be ranked as Second. This can happen in 3 ways.

Similarly the other two rankings can be given in 2 ways and 1 way respectively.

Therefore, by Fundamental Counting Principle, total number of ways of selecting 4 submissions and ranking them is

12650 * 4 * 3 * 2 * 1 = 303600.

(2) Total number of apples in the basket = 6 + 9 = 15

5 apples can be drawn out of ...

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