1
JEE Main 2020 (Online) 8th January Morning Slot
+4
-1
If a, b and c are the greatest value of 19Cp, 20Cq and 21Cr respectively, then :
A
$${a \over {11}} = {b \over {22}} = {c \over {21}}$$
B
$${a \over {10}} = {b \over {22}} = {c \over {21}}$$
C
$${a \over {10}} = {b \over {11}} = {c \over {42}}$$
D
$${a \over {11}} = {b \over {22}} = {c \over {42}}$$
2
JEE Main 2020 (Online) 7th January Evening Slot
+4
-1
The number of ordered pairs (r, k) for which
6.35Cr = (k2 - 3). 36Cr + 1, where k is an integer, is :
A
6
B
3
C
2
D
4
3
JEE Main 2020 (Online) 7th January Morning Slot
+4
-1
Total number of 6-digit numbers in which only and all the five digits 1, 3, 5, 7 and 9 appear, is :
A
$${5 \over 2}\left( {6!} \right)$$
B
$${6!}$$
C
56
D
$${1 \over 2}\left( {6!} \right)$$
4
JEE Main 2019 (Online) 12th April Evening Slot
+4
-1
A group of students comprises of 5 boys and n girls. If the number of ways, in which a team of 3 students can randomly be selected from this group such that there is at least one boy and at least one girl in each team, is 1750, then n is equal to :
A
24
B
25
C
27
D
28
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