क्रिकेट टीम साठी सोळा खेळाडू मधून अकरा निवडायचे आहेत तर किती वेगवेगळ्या निवड तयार होतील
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Given : क्रिकेट टीम साठी सोळा खेळाडू मधून अकरा निवडायचे आहेत
eleven out of sixteen players are to be selected for the cricket team,
To Find : how many different selections will be made
किती वेगवेगळ्या निवड तयार होतील
Solution :
Total Players = 16
To be selected = 11
different selections can be made = ¹⁶C₁₁
= 16 !/ 11!.5!
= 16 * 15 * 14 * 13 * 12 / ( 5 * 4 * 3 * 2 * 1)
= 2 * 14 * 13 * 12
= 4368
एकूण खेळाडू = 16
निवडण्यासाठी = 11
वेगवेगळ्या निवड तयार होतील =¹⁶C₁₁
= 4368
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