In a pack of 42 cards, 3 cards are chosen one after the other. Find the number…
2025
In a pack of 42 cards, 3 cards are chosen one after the other. Find the number of ways this can be done without replacement:
Answer: C. 68880 — Answer: 68880 There are 42 choices for the first card, 41 choices for the second (since one card has been removed), and 40 choices for the third. Multiply the…
- A.
1722
- B.
1752
- C.
68880
- D.
6880
Attempted by 61 students.
Show answer & explanation
Correct answer: C
Answer: 68880
There are 42 choices for the first card, 41 choices for the second (since one card has been removed), and 40 choices for the third.
Multiply the number of choices: 42 × 41 × 40 = 68880.
This is the permutation P(42,3), the number of ordered selections of 3 cards without replacement.
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