Five numbers taken out from numbers 1-30 and arrange them in ascending order. The probability that the third number will be 20 is Option 1: ^20C_2 x ^10C_2^30C_5 Option 2: ^19C_2 x ^10C_2^30C_5 Option 3: ^19C_2 x ^11C_3^30C_5 Option 4: ^19C_2 x ^11C_2^30C_5

The answer is '^19C_2 x ^10C_2^30C_5'. View full solution:

CUET Mathematics - Five numbers taken out from numbers 1-30 and arrange them in ascending order. The probability that the third number will be 20 is | PYQs + Solutions

CUET Mathematics 2022 10 Aug Shift 1

Algebra

Medium

$\frac{{}^{20}C_2 \times {}^{10}C_2}{{}^{30}C_5}$

$\frac{{}^{19}C_2 \times {}^{10}C_2}{{}^{30}C_5}$

$\frac{{}^{19}C_2 \times {}^{11}C_3}{{}^{30}C_5}$

$\frac{{}^{19}C_2 \times {}^{11}C_2}{{}^{30}C_5}$

✅ Correct Option: 2