Paired Samples Statistics Std. Error Mean Mean Std. Deviation Pair Alone 8.08 12 3.029 .874 1 Others 6.17 12 2.443 .705 Paired Samples Correlations N Correlation Sig. Pair 1 Alone & Others 12 .858 .000 Paired Samples Test Paired Differences 95% Confidence Interval of the Difference Std. Error Sig (2-tailed) 11 Mean Std. Deviation Mean .452 Lower .923 df Upper 2.911 Pair 1 Alone - Others 1.917 1.564 4.244 .001

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Logic and Proofs

Discrete mathematics deals with the separated values of data such as integers. It is widely used in the practical field of computer science and mathematics. By knowing discrete mathematics one can improve their reasoning and problem-solving capabilities. Discrete mathematics became popular after the boom of computers which operate in discrete steps and store data in discrete bits. It also useful in studying computer programming, algorithms, and cryptography.