NCERT Class XI Mathematics - Permutations and Combinations - Solutions
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Question : 38
Total: 41
Determine the number of 5-cards combinations out of a deck of 52 cards if each selection of 5 cards has exactly one king.
Solution:
Total no. of cards = 52, No. of cards selected = 5, No. of kings = 4
No. of other cards = 48
∴ No. of ways of selecting a king out of 4 =
C 1
No. of ways of selecting 4 other cards out of 48 cards =
C 4
∴ Required no. of ways =
C 1 ×
C 4
No. of other cards = 48
∴ No. of ways of selecting a king out of 4 =
No. of ways of selecting 4 other cards out of 48 cards =
∴ Required no. of ways =
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