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Find the value of ${^{75}P_2}-{^{75}C_2}$ |
0 150 2775 3290 |
2775 |
${^{75}P_2}-{^{75}C_2}$ = \(\frac{ 75 !}{ 75!- 2! }\) - \(\frac{ 75 !}{ (75!- 2!) . 2! }\) = \(\frac{ 75 ×74 ×73 !}{ 73! }\) - \(\frac{ 75 !}{ (73!) × 2! }\) = 75 ×74 - \(\frac{ 75 ×74 }{ 2 ×1 }\) = 5550 - 2775 = 2775 The correct answer is option (3) : 2775 |
