NCERT Class XI Mathematics - Permutations and Combinations - Solutions
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Question : 27
Total: 41
Determine the number of 5 cards combinations out of a deck of 52 cards if there is exactly one ace in each combination.
Solution:
Total no. of cards = 52
No. of ace cards = 4; No. of non-ace cards = 48
∴ One ace card out of 4 can be selected in
C 1
Remaining 4 cards out of 48 cards can be selected in
C 4
∴ Required no. of ways of selecting 5 cards =
C 1 ×
C 4
×
No. of ace cards = 4; No. of non-ace cards = 48
∴ One ace card out of 4 can be selected in
Remaining 4 cards out of 48 cards can be selected in
∴ Required no. of ways of selecting 5 cards =
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