Finding the Sum of a System of Equations
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Answer:
The number of ways to select 5 diamonds and 3 clubs is 368,082.
Step-by-step explanation:
In a standard deck of 52 cards there are 4 suits each consisting of 13 cards.
Compute the probability of selecting 5 diamonds and 3 clubs as follows:
The number of ways of selecting 0 cards from 13 hearts is:
The number of ways of selecting 3 cards from 13 clubs is:
The number of ways of selecting 5 cards from 13 diamonds is:
The number of ways of selecting 0 cards from 13 spades is:
Compute the number of ways to select 5 diamonds and 3 clubs as:
Thus, the number of ways to select 5 diamonds and 3 clubs is 368,082.