Question

Assume that 5 cards are drawn from a standard deck of 52 cards. How many ways can I get 3 sevens, 1 six and 1 five?

Answer 1

64 ways

Step-by-step explanation

In a standard deck of 52 cards, there are four 'sevens', four 'sixes' and four 'fives'.

Using Combination formula, the number of ways to pick 3 sevens, 1 six and 1 five is given as

⁴C₃ × ⁴C₁ × ⁴C₁

= 4 × 4 × 4

= 64

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