Each time draw 6 different numbers from 1 ~ 45 randomly Let M denote the times...

Each time draw 6 different numbers from 1 ~ 45 randomly

Let M denote the times you have to draw such that all the number from 1~45 has been drawn
What's the expected number of M.

please explain thoroughly. Thanks.

Solutions

Expert Solution

Permutation and Combination are two different Defination which are used while we have to pick some things out of Total Available things.The only difference between Permutation and Combination is In Permutation order in which we choose things matter and in Combination order doesn't matter.

Like in above case choices of 1,2,3,4,5,6 and 1,2,3,6,5,4 are different according to Permutation but have same meaning on basis of Combination.

Here we have to pick six different number out of total 45 numbers.we assumed here 1 and 45 included in our choices.

Colby Messinger answered 7 months ago

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