IIT-JEE 1982 | Permutations and Combinations Question 47 | Mathematics

IIT-JEE 1982

MCQ (Single Correct Answer)

-0.5

Eight chairs are numbered 1 to 8. Two women and three men wish to occupy one chair each. First the women choose the chairs from amongst the chairs marked 1 to 4; and then the men select the chairs from amongst the remaining. The number of possible arrangements is

$${}^6{C_3} \times {}^4{C_2}$$

$${}^4{P_2} \times {}^4{P_3}$$

$${}^4{C_2} \times {}^4{P_3}$$

none of these

IIT-JEE 1982

MCQ (Single Correct Answer)

-0.5

The value of the expression $$\,{}^{47}{C_4} + \sum\limits_{j = 1}^5 {^{52 - j}\,{C_3}} $$ is equal to

$${}^{47}{C_5}$$

$${}^{52}{C_5}$$

$${}^{52}{C_4}$$

none of these

IIT-JEE 1979

MCQ (Single Correct Answer)

-0.5

$${}^n{C_{r - 1}} = 36,{}^n{C_r} = 84\,\,and\,\,{}^n{C_{r + 1}} = 126$$, then r is :

None of these.

JEE Advanced Subjects