(d) Number of ways to draw exactly 2 kings or jacks = 30,408,224

MATLAB: An Introduction with Applications
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Need help with part d, of the attached picture. Be detailed please

**Seven Card Draw Combinatorics**

When seven cards are drawn from a standard deck, we can explore the number of possible ways to draw specific combinations. Below are the scenarios and their corresponding possible ways:

1. **Drawing only 2's:**
   - There are 0 ways to draw only 2's. This is because there are not enough 2's in a standard deck to fulfill this condition.

2. **Drawing only 6's, 7's, and 8's:**
   - The number of ways to draw only 6's, 7's, and 8's is 792.

3. **Drawing with no 6's, 7's, and 8's:**
   - There are 18,643,560 ways to draw cards that include no 6's, 7's, or 8's.

4. **Drawing exactly 2 kings or jacks:**
   - The number of ways to achieve a draw with exactly 2 kings or jacks is 30,408,224.

5. **Drawing 2 spades and 5 hearts:**
   - There are 100,386 ways to draw exactly 2 spades and 5 hearts.

These calculations are based on combinatorial mathematics and explore the various possible outcomes of drawing cards from a deck while meeting specific requirements.
Transcribed Image Text:**Seven Card Draw Combinatorics** When seven cards are drawn from a standard deck, we can explore the number of possible ways to draw specific combinations. Below are the scenarios and their corresponding possible ways: 1. **Drawing only 2's:** - There are 0 ways to draw only 2's. This is because there are not enough 2's in a standard deck to fulfill this condition. 2. **Drawing only 6's, 7's, and 8's:** - The number of ways to draw only 6's, 7's, and 8's is 792. 3. **Drawing with no 6's, 7's, and 8's:** - There are 18,643,560 ways to draw cards that include no 6's, 7's, or 8's. 4. **Drawing exactly 2 kings or jacks:** - The number of ways to achieve a draw with exactly 2 kings or jacks is 30,408,224. 5. **Drawing 2 spades and 5 hearts:** - There are 100,386 ways to draw exactly 2 spades and 5 hearts. These calculations are based on combinatorial mathematics and explore the various possible outcomes of drawing cards from a deck while meeting specific requirements.
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