Checkout JEE MAINS 2022 Question Paper Analysis : Checkout JEE MAINS 2022 Question Paper Analysis :

The total number of injections (one-one and into mappings) from {a_1, a_2, a_3, a_4} to {b_1, b_2, b_3, b_4, b_5, b_6, b_7} is (1) 400 (2) 420 (3) 800 (4) 840

Solution: (4)

A = {a1, a2, a3, a4}

B = {b1, b2, b3, b4, b5, b6, b7}

n (A) = 4 and n (B) = 7

Total number of injections = 7P4

= 7! / 3!

= 7 * 6 * 5 * 4

= 840

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